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Journal articles on the topic 'Generalized topological spaces'

Author: Grafiati
Published: 4 June 2025
Last updated: 7 July 2025

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1

Delfan, Ahmad, and Alireza Kamel Mirmostafaee. "Some results on Baireness in generalized topological spaces." MATHEMATICA 65 (88), no. 2 (2023): 242–48. http://dx.doi.org/10.24193/mathcluj.2023.2.10.

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"The aim of this paper is to extend some results on the Baire category in generalized topological spaces. We will apply the Banach-Mazur game to characterize Baireness in generalized topological spaces. Moreover, we will introduce a new separation axiom for generalized topological spaces which provides opportunity to generalize the Banach category theorem for locally compact generalized topological spaces."
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2

Min, Won-Keun. "On Intuitionistic Fuzzy Generalized Topological Spaces." Journal of Korean Institute of Intelligent Systems 19, no. 5 (2009): 725–29. http://dx.doi.org/10.5391/jkiis.2009.19.5.725.

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3

MAO, Linfan. "Topological Multi-groups and Multi-fields." International J.Math. Combin. Vol.1 (2009) (October 1, 2009): 08–17. https://doi.org/10.5281/zenodo.9102.

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Topological groups, particularly, Lie groups are very important in differential geometry, analytic mechanics and theoretical physics. Applying Smarandache multi-spaces, topological spaces, particularly, manifolds and groups were generalized to combinatorial manifolds and multi-groups underlying a combinatorial structure in references. Then whether can one generalizes their combination, i.e., topological group or Lie group to a multiple one? The answer is YES. In this paper, the author shows how to generalize topological groups and the homomorphism theorem for topological groups to multiple ones.
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4

M, Kowsalya, та Jayanthi D. "µ-β-generalized α-closed sets in generalized topological spaces". International Journal of Trend in Scientific Research and Development Volume-2, Issue-3 (2018): 2318–20. http://dx.doi.org/10.31142/ijtsrd11665.

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5

Aruna, C., and R. Selvi. "Generalized b Compactness and Generalized b Connectedness in Topological Spaces." International Journal of Trend in Scientific Research and Development Volume-2, Issue-4 (2018): 2897–900. http://dx.doi.org/10.31142/ijtsrd15720.

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6

Min, Won-Keun. "Fuzzy Generalized Topological Spaces." Journal of Korean Institute of Intelligent Systems 19, no. 3 (2009): 404–7. http://dx.doi.org/10.5391/jkiis.2009.19.3.404.

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7

Bai, Shi-Zhong. "Generalized L-topological spaces." Journal of Intelligent & Fuzzy Systems 28, no. 1 (2015): 301–9. http://dx.doi.org/10.3233/ifs-141300.

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8

Al-Saadi, Hanan, and Huda Al-Malki. "Generalized primal topological spaces." AIMS Mathematics 8, no. 10 (2023): 24162–75. http://dx.doi.org/10.3934/math.20231232.

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<abstract><p>In the present article, a new category of mathematical structure is described based on the topological structure "primal" and the notion of "generalized". Such a structure is discussed in detail in terms of topological properties and some basic theories. Also, we introduced some operators using the concepts "primal" and "generalized primal neighbourhood", which have a lot of nice properties.</p></abstract>
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9

Georgiou, D. N., and Sang-Eon Han. "Generalized topological function spaces and a classification of generalized computer topological spaces." Filomat 26, no. 3 (2012): 539–52. http://dx.doi.org/10.2298/fil1203539g.

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We introduce several kinds of generalized continuities and homeomorphisms in computer topology and investigate some properties of function spaces of these generalized continuous maps and classify generalized computer topological spaces up to each of these generalized homeomorphisms.
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10

Sivaraj. "Generalized Nets in Generalized Topological Spaces." Journal of Advanced Research in Pure Mathematics 3, no. 2 (2011): 49–55. http://dx.doi.org/10.5373/jarpm.544.081710.

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11

Hamant, Kumar Hamant. "II-NORMAL SPACES IN TOPOLOGICAL SPACES." Journal of Emerging Technologies and Innovative Research (JETIR) 7, no. 8 (2020): 1510–20. https://doi.org/10.5281/zenodo.14885784.

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The aim of this paper is to introduce and study a new class of spaces, called ii-normal spaces. The relationships among beeta*g-normal, s-normal, alpha-normal, gamma-normal and ii-normal spaces are investigated. Moreover, we introduce the forms of generalized ii-closed (briefly gii-closed) and ii-generalized closed (briefly iig-closed) functions. We obtain characterizations of ii-normal spaces, properties of the forms of generalized ii-closed functions and preservation theorems.
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12

Ridha, Muna L. Abd Ul, та Suaad G. Gasim. "ӼϢ-connected Spaces". Journal of Interdisciplinary Mathematics 26, № 7 (2023): 1401–6. http://dx.doi.org/10.47974/jim-1557.

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In this paper, we introduced a new type of open set in generalized topological spaces: ӼϢ-open set. A new generalization of connectedness in a generalized topological space using ӼϢ-open namely ӼϢ-connectedness is defined. Also, new generalizations of continuous functions in generalized topological space will be studied here as weakly ӼϢ- continuous, strongly ӼϢ- continuous and ӼϢ- irresolute functions.
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13

Chauhan, Harsh V. S., Sheetal Luthra, and Dimple Pasricha. "Anti $ T_{2} $-generalized topological spaces." Boletim da Sociedade Paranaense de Matemática 42 (May 28, 2024): 1–7. http://dx.doi.org/10.5269/bspm.66404.

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In this paper, we investigated non strong hyperconnected generalized topological spaces. Ekici \cite{Eki11} and Devi \cite{Ren12} have provided the results of hyperconnectedness for strong generalized topological spaces. We generalized these results for arbitrary generalized topological spaces. Through the notion of hyperconnectedness of arbitrary generalized topological spaces, we constructed an example which fails Hausdorff characterization of topological spaces \lq\lq A first countable spaces is Hausdorff if and only if every convergent sequence has unique limit\rq\rq. This example also serves the purpose of constructing Anti Hausdorff Fr$\acute{e}$chet space in which every convergent sequence has unique limit required by Novak in \cite{Nov39}.
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14

M, Kowsalya, та Sentamilselvi M. "Contra µ-β-Generalized α-Continuous Mappings in Generalized Topological Spaces". International Journal of Trend in Scientific Research and Development Volume-2, Issue-6 (2018): 607–11. http://dx.doi.org/10.31142/ijtsrd18584.

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15

RENUKADEVI, V., and P. VIJAYASHANTHI. "Generalized convergence and generalized sequential spaces." Creative Mathematics and Informatics 31, no. 2 (2022): 201–14. http://dx.doi.org/10.37193/cmi.2022.02.06.

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We continue the study of g-convergence given in 2005 [Caldas, M.; Jafari, S. On $g$-US spaces. {\em Stud. Cercet. \c{S}tiin\c{t}. Ser. Mat. Univ. Bac\u{a}u} {\bf 14} (2004), 13--19 (2005).] by introducing the sequential $g$-closure operator and we prove that the product of $g$-sequential spaces is not $g$-sequential by giving an example. We further investigate sequential $g$-continuity in topological spaces and present interesting theorems which are also new for the real case. It is shown that in a topological space the property of being $g$-sequential implies sequential, $g$-Fr\'echet implies Fr\'echet and $g$-Fr\'echet implies $g$-sequential. However, the inverse conclusions are not true and some counter examples are given. Also, we show that strongly $g$-continuous image of a $g$-sequential space is $g$-sequential, if the map is quotient. Finally, we obtain a necessary and sufficient condition for a topological space to be $g$-sequential in terms of a sequentially $g$-quotient map.
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16

Malfi, Mohammed Saleh, Fathi Hishem Khedr, and Mohamad Azab Abd Allah. "Generalized Fuzzy Soft Connected Sets in Generalized Fuzzy Soft Topological Spaces." JOURNAL OF ADVANCES IN MATHEMATICS 14, no. 2 (2018): 7787–805. http://dx.doi.org/10.24297/jam.v14i2.7461.

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In this paper we introduce some types of generalized fuzzy soft separated sets and study some of their properties. Next, the notion of connectedness in fuzzy soft topological spaces due to Karata et al, Mahanta et al, and Kandil et al., extended to generalized fuzzy soft topological spaces. The relationship between these types of connectedness in generalized fuzzy soft topological spaces is investigated with the help of number of counter examples.
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17

Sarsak, Mohammad S. "More properties of generalized open sets in generalized topological spaces." Demonstratio Mathematica 55, no. 1 (2022): 404–15. http://dx.doi.org/10.1515/dema-2022-0027.

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Abstract Sarsak [M. S. Sarsak, On some properties of generalized open sets in generalized topological spaces, Demonstr. Math. 46 (2013), no. 2, 415–427] studied some properties of generalized open sets in generalized topological spaces (GTSs); the primary purpose of this article is to investigate more properties of generalized open sets in GTSs. We mainly study the behaviours of regular closed sets, semi-open sets, regular semi-open sets, preopen sets, and β \beta -open sets in GTSs analogous to their behaviours in topological spaces.
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18

Hussain, Sabir, Bashir Ahmad та Takashi Noiri. "γ*-SEMI-OPEN SETS IN TOPOLOGICAL SPACES". Asian-European Journal of Mathematics 03, № 03 (2010): 427–33. http://dx.doi.org/10.1142/s1793557110000337.

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The concept of generalized open sets in generalized topological spaces was introduced by A. Csaszar [6,7]. In this paper, we introduce the concept of γ*-semi-open sets and investigate the related topological properties of the associated topologies SOγ*(X) and τγ. We also introduce the concepts of [Formula: see text]-sets and Λsγ-sets which generalize g· Λs-sets and g· νs-sets respectively introduced by Minguel Caldas and Julian Dontchev [5].
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19

Hamant, Kumar Hamant. "β*g-normal spaces in topological spaces". Journal of Emerging Technologies and Innovative Research (JETIR) 6, № 6 (2019): 897–907. https://doi.org/10.5281/zenodo.14885821.

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The aim of this paper is to introduce and study a new class of spaces, called β*g-normal spaces. The relationships among s-normal spaces, p-normal spaces, alpha-normal spaces, β-normal spaces, gamma-normal spaces and β*g-normal spaces are investigated. Moreover, we introduce the forms of generalized β*g-closed and β*g-generalized closed functions. We obtain characterizations of β*g-normal spaces, properties of the forms of generalized β*g-closed functions and preservation theorems.
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20

CARPINTERO, CARLOS, NAMEGALESH RAJESH, and ENNIS ROSAS. "Bienlargements on generalized topological spaces." Creative Mathematics and Informatics 24, no. 2 (2015): 139–46. http://dx.doi.org/10.37193/cmi.2015.02.06.

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21

Piękosz, Artur. "On generalized topological spaces I." Annales Polonici Mathematici 107, no. 3 (2013): 217–41. http://dx.doi.org/10.4064/ap107-3-1.

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22

Piękosz, Artur. "On generalized topological spaces II." Annales Polonici Mathematici 108, no. 2 (2013): 185–214. http://dx.doi.org/10.4064/ap108-2-4.

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23

Baskaran. "Separations of Generalized Topological Spaces." Journal of Advanced Research in Pure Mathematics 2, no. 1 (2010): 74–83. http://dx.doi.org/10.5373/jarpm.280.110209.

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24

Li, Zhaowen, and Funing Lin. "Baireness on generalized topological spaces." Acta Mathematica Hungarica 139, no. 4 (2012): 320–36. http://dx.doi.org/10.1007/s10474-012-0284-6.

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25

K. K, Bushra Beevi, and Baby Chacko. "PARACOMPACTNESS IN GENERALIZED TOPOLOGICAL SPACES." South East Asian J. of Mathematics and Mathematical Sciences 19, no. 01 (2023): 287–300. http://dx.doi.org/10.56827/seajmms.2023.1901.24.

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In this paper we introduce the concepts G - locally finite, σG - locally finite and G - paracompactness. Also discuss about some properties of these concepts. Here we investigate that some properties in topological spaces and generalized topological spaces (GTS) are coincides if we replace open sets by generalized open sets (G - open sets ). Also, we provide some examples to show some results are invalid in the case of GTS.
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26

Al-Saadi, Hanan, and Huda Al-Malki. "Correction: Generalized primal topological spaces." AIMS Mathematics 9, no. 7 (2024): 19068–69. http://dx.doi.org/10.3934/math.2024928.

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<abstract><p>The purpose of this note is to give some mistyping corrections for our published article in <sup>[<xref ref-type="bibr" rid="b1">1</xref>]</sup>.</p></abstract>
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27

S. Sekar and B. Jothilakshmi. "On semi generalized star b - Connectedness and semi generalized star b - Compactness in topological spaces." Malaya Journal of Matematik 5, no. 01 (2017): 143–48. http://dx.doi.org/10.26637/mjm501/013.

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In this paper, the authors introduce a new type of connected spaces called semi generalized star $b$ - connected spaces (briefly $s g^* b$-connected spaces) in topological spaces. The notion of semi generalized star $b$ - compact spaces is also introduced (briefly $s g^* b$-compact spaces) in topological spaces. Some characterizations and several properties concerning $s g^* b$-connected spaces and $s g^* b$-compact spaces are obtained.
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28

Petersen, Dan. "Cohomology of generalized configuration spaces." Compositio Mathematica 156, no. 2 (2019): 251–98. http://dx.doi.org/10.1112/s0010437x19007747.

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Let $X$ be a topological space. We consider certain generalized configuration spaces of points on $X$, obtained from the cartesian product $X^{n}$ by removing some intersections of diagonals. We give a systematic framework for studying the cohomology of such spaces using what we call ‘twisted commutative dg algebra models’ for the cochains on $X$. Suppose that $X$ is a ‘nice’ topological space, $R$ is any commutative ring, $H_{c}^{\bullet }(X,R)\rightarrow H^{\bullet }(X,R)$ is the zero map, and that $H_{c}^{\bullet }(X,R)$ is a projective $R$-module. We prove that the compact support cohomology of any generalized configuration space of points on $X$ depends only on the graded $R$-module $H_{c}^{\bullet }(X,R)$. This generalizes a theorem of Arabia.
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29

Korczak-Kubiak, Ewa, Anna Loranty, and Ryszard J. Pawlak. "Baire generalized topological spaces, generalized metric spaces and infinite games." Acta Mathematica Hungarica 140, no. 3 (2013): 203–31. http://dx.doi.org/10.1007/s10474-013-0304-1.

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30

Jamunarani, R., P. Jeyanthi, and M. Velrajan. "C- sets and decomposition of continuity in generalized topological spaces." Boletim da Sociedade Paranaense de Matemática 31, no. 2 (2013): 255. http://dx.doi.org/10.5269/bspm.v31i2.15354.

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In generalized topological spaces, we dene $\mu C- sets and establishsome decomposition of continuity between generalized topological spaces. Moreover, we prove that some of the results established in [3] are already established results in topological spaces. Generalization of this results are also given.
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31

C., Aruna, and Selvi R. "Generalized b Compactness and Generalized b Connectedness in Topological Spaces." International Journal of Trend in Scientific Research and Development 2, no. 4 (2018): 2897–900. https://doi.org/10.31142/ijtsrd15720.

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This paper deals with that gb compact spaces and their properties are studied. The notion of gb connectedness in topological spaces is also introduced and their properties are studied. C. Aruna | R. Selvi "Generalized b Compactness and Generalized b Connectedness in Topological Spaces" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-2 | Issue-4 , June 2018, URL: https://www.ijtsrd.com/papers/ijtsrd15720.pdf
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32

Askandar, Sabih, Beyda S. Abdullah, and Luma Khaleel. "Soft i-Open Sets in Soft Bi-Topological Spaces." Al-Qadisiyah Journal of Pure Science 27, no. 1 (2023): 124–36. http://dx.doi.org/10.29350/qjps.2022.27.1.1592.

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In our study we introduced soft i-open sets and soft i-star-generalized-w-closed sets in soft bi-topological spaces, , using the notion of soft i-open sets in soft-topological-space, . We besides that give examples to clarify these relationships while presenting some essential characteristics and relationships between various groups of sets. Besides that we studied the property of soft bi-topologically extended and non-soft bi-topologically extended of soft i-open sets in soft bi-topological spaces by proofs and examples.
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33

Khedr, F. H., O. R. Sayed, and S. R. Mohamed. "Some Generalized Fuzzy Separation Axioms." International Journal of Analysis and Applications 23 (February 21, 2025): 49. https://doi.org/10.28924/2291-8639-23-2025-49.

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This article's objective is to progress the field of generalized fuzzy topological spaces, particularly generalized fuzzy T0 spaces. Various types of these spaces are introduced and examined. We investigate their hereditary, productive, and projective properties, and demonstrate that these properties are preserved under bijective generalized fuzzy continuous generalized fuzzy open mappings. Additionally, we explore these concepts in the context of initial and final generalized fuzzy topological spaces.
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34

Manivannan, P., A. Vadivel та V. Chandrasekar. "Nano Generalized 𝒆𝒆-closed Sets in Nano Topological Spaces". Journal of Advanced Research in Dynamical and Control Systems 11, № 12-SPECIAL ISSUE (2019): 469–75. http://dx.doi.org/10.5373/jardcs/v11sp12/20193241.

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35

Merlin Jeraldin J, Joan. "Vague Generalized Beta* - Closed Sets in Vague Topological Spaces." International Journal of Science and Research (IJSR) 13, no. 2 (2024): 1742–45. http://dx.doi.org/10.21275/sr24226170952.

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36

Kiliçman, Adem, and Anwar Jabor Fawakhreh. "Product Property on Generalized Lindelöf Spaces." ISRN Mathematical Analysis 2011 (April 6, 2011): 1–7. http://dx.doi.org/10.5402/2011/843480.

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We study the product properties of nearly Lindelöf, almost Lindelöf, and weakly Lindelöf spaces. We prove that in weak P-spaces, these topological properties are preserved under finite topological products. We also show that the product of separable spaces is weakly Lindelöf.
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37

Huang, Leonard T. "Generalization of a real-analysis result to a class of topological vector spaces." New Zealand Journal of Mathematics 50 (September 4, 2020): 21–27. http://dx.doi.org/10.53733/44.

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In this paper, we generalize an elementary real-analysis result to a class of topological vector spaces. We also give an example of a topological vector space to which the result cannot be generalized.
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38

Alqahtani, Mesfer H., Ohud F. Alghamdi, and Zanyar A. Ameen. "Nodecness of Soft Generalized Topological Spaces." International Journal of Analysis and Applications 22 (September 2, 2024): 149. http://dx.doi.org/10.28924/2291-8639-22-2024-149.

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In this work, we define a new class of soft generalized topological spaces, namely strongly soft nodec, with the use of strongly soft nowhere dense sets. Then, we study the basic properties of these spaces and show that if the product of two soft generalized topological spaces is a strongly soft nodec space, then each one is a strongly soft nodec space. Then, we extend these notions to T0-strongly soft nodec generalized topological spaces by using the soft quotient functions and discussing their main properties. We also show the inverse of a surjective soft quotient function preserves the soft closure and soft interior of a soft subset of a codomain soft set in soft generalized topological space. Further, we use soft quasi-homeomorphism and soft quotient functions to make comparisons and connections between these spaces with the support of appropriate counterexamples. Then, we successfully determine a condition under which the soft generalized topological space is a soft weak Baire space and hence a strongly soft second category.
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39

Kowsalya, M., та D. Jayanthi. "µ-β-generalized α-closed sets in generalized topological spaces". International Journal of Trend in Scientific Research and Development 2, № 3 (2018): 2318–20. https://doi.org/10.31142/ijtsrd11665.

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In this paper, we have introduced a new class of sets in generalized topological spaces called µ ß generalized a closed sets. Also we have investigated some of their basic properties. Kowsalya M | Jayanthi D "µ-β-generalized α-closed sets in generalized topological spaces" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-2 | Issue-3 , April 2018, URL: https://www.ijtsrd.com/papers/ijtsrd11665.pdf
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40

Bayhan, Sadik, Alev Kanibir, and Ivan L. Reilly. "On Decomposition of Generalized Continuity." Tatra Mountains Mathematical Publications 58, no. 1 (2014): 37–45. http://dx.doi.org/10.2478/tmmp-2014-0004.

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Abstract The aim of this paper is to obtain some decompositions of generalized continuity by providing some new variants of generalized continuous functions. Our partial success is an indication of significant differences between the theory of topological spaces and that of generalized topological spaces
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41

K.Tyagi, B., and Rachna Rachna. "On Generalized Closure Operators in Generalized Topological Spaces." International Journal of Computer Applications 82, no. 15 (2013): 1–5. http://dx.doi.org/10.5120/14236-2128.

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42

Tyagi, B. K., and HarshV S. Chauhan. "On generalized closed sets in generalized topological spaces." Cubo (Temuco) 18, no. 1 (2016): 27–45. http://dx.doi.org/10.4067/s0719-06462016000100003.

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43

A. Salama, A. "Generalized Neutrosophic Set and Generalized Neutrosophic Topological Spaces." Computer Science and Engineering 2, no. 7 (2013): 129–32. http://dx.doi.org/10.5923/j.computer.20120207.01.

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44

Pawlak, Ryszard J., and Anna Loranty. "The generalized entropy in the generalized topological spaces." Topology and its Applications 159, no. 7 (2012): 1734–42. http://dx.doi.org/10.1016/j.topol.2011.05.043.

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45

Jitjagr, Promlikhit, Chokchai Viriyapong, and Chawalit Boonpok. "REGULAR GENERALIZED CLOSED SETS IN GENERALIZED TOPOLOGICAL SPACES." Far East Journal of Mathematical Sciences (FJMS) 97, no. 5 (2015): 635–43. http://dx.doi.org/10.17654/fjmsjul2015_635_643.

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46

Calmuțchi, Laurențiu. "Generalized Hausdorff compactifications." Acta et commentationes Ştiinţe Exacte şi ale Naturii 16, no. 2 (2023): 89–96. http://dx.doi.org/10.36120/2587-3644.v16i2.89-96.

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This article investigates some properties of generalized Hausdorff compactifications of topological T_0-spaces. In particular, it is show that the totality of these compactifications forms a lattice of g-extensions in which there is the maximum element.
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47

Allan, James A. "Topological properties of generalized Wallman spaces and lattice relations." International Journal of Mathematics and Mathematical Sciences 19, no. 4 (1996): 717–22. http://dx.doi.org/10.1155/s0161171296000981.

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LetXbe an abstract set andℒbe a lattice of subsets ofX. Associated with the pair(X,ℒ)are a variety of Wallman-type topological spaces. Some of these spaces generalize very important topological spaces such as the Stone-Čech compactification, the real compactification, etc. We consider the general setting and investigate how the properties ofℒreflect over to the general Wallman Spaces and conversely. Completeness properties of the lattices in the Wallman Spaces are investigated, as well as the interplay of topological properties of these spaces such asT2, regularity and Lindelöf withℒ.
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48

Jasim, Taha H., Saja S. Mohsen, and Kanayo Stella Eke. "On Micro-generalized Closed Sets and Micro-generalized Continuity in Micro Topological Spaces." European Journal of Pure and Applied Mathematics 14, no. 4 (2021): 1507–16. http://dx.doi.org/10.29020/nybg.ejpam.v14i4.3823.

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The purpose of this paper is to define and study a new class of sets called micro generalized closed sets and define micro generalized continuous function and irresolute micro generalized continuous function in micro topological spaces. Basic properties of micro generalized closed sets and its characterizations are analyzed.
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49

Imran, Qays Hatem, Ali H. M. Al Al-Obaidi, Florentin Smarandache, and Said Broumi. "On Neutrosophic Generalized Semi Generalized Closed Sets." International Journal of Neutrosophic Science 18, no. 3 (2022): 10–19. http://dx.doi.org/10.54216/ijns.18030101.

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The article considers a new generalization of closed sets in neutrosophic topological space. This generalization is called Neutrosophic gsg-closed set. Moreover, we discuss its essential features in neutrosophic topological spaces. Furthermore, we extend the research by displaying new related definitions such as neutrosophic gsg-closure and neutrosophic gsg-interior and debating their powerful characterizations and relationships.
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Al Ghour, Samer. "On Soft Generalized ω-Closed Sets and Soft T1/2 Spaces in Soft Topological Spaces". Axioms 11, № 5 (2022): 194. http://dx.doi.org/10.3390/axioms11050194.

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Abstract:
In this paper, we define a soft generalized ω-closed set, which is a generalization of both the soft ω-closed set and the soft generalized closed set. We show that the classes of generalized closed sets and generalized ω-closed sets coincide in soft anti-locally countable soft topological spaces. Additionally, in soft locally countable soft topological spaces, we show that every soft set is a soft generalized ω-closed set. Furthermore, we prove that the classes of soft generalized closed sets and soft generalized ω-closed sets coincide in the soft topological space (X,τω,A). In addition to these, we determine the behavior of soft generalized ω-closed sets relative to soft unions, soft intersections, soft subspaces, and generated soft topologies. Furthermore, we investigate soft images and soft inverse images of soft generalized closed sets and soft generalized ω-closed sets under soft continuous, soft closed soft transformations. Finally, we continue the study of soft T1/2 spaces, in which we obtain two characterizations of these soft spaces, and investigate their behavior with respect to soft subspaces, soft transformations, and generated soft topologies.
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