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Relevant bibliographies by topics / Bitopological space

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Academic literature on the topic 'Bitopological space'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Bitopological space"

1

Arunmaran, M., та K. Kannan. "Some Results of τ1τ2-δ Semiconnectedness and Compactness in Bitopological Spaces". Journal of Mathematics 2018 (2018): 1–4. http://dx.doi.org/10.1155/2018/7863713.

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We are going to establish some results of τ1τ2-δ semiconnectedness and compactness in a bitopological space. Besides, we will investigate several results in τ1τ2-δ semiconnectedness for subsets in bitopological spaces. In particular, we will discuss the relationship related to semiconnectedness between the topological spaces and bitopological space. That is, if a bitopological space (X,τ1,τ2) is τ1τ2-δ semiconnected, then the topological spaces (X,τ1) and (X,τ2) are δ-semiconnected. In addition, we introduce the result which states that a bitopological space (X,τ1,τ2) is τ1τ2-δ semiconnected i

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Al-Abayechi, Ameer, Haneen Al-Janabi, and Heyam Kh Hassan Alkhayyat. "New results in fuzzy soft bitopological spaces via (1,2)-fuzzy soft preopen sets." Journal of Interdisciplinary Mathematics 28, no. 3-B (2025): 1161–72. https://doi.org/10.47974/jim-2205.

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Makherjee and Park [1] introduced and studied a notion for a fuzzy soft bitopological space. This article introduce notions for fuzzy soft pre-open (closed) set of fuzzy soft bitopological space and studied their basic properties. we use these notions to characterize fundamental concepts of fuzzy soft bitopological spaces such as fuzzy soft pre-closures and fuzzy soft pre-interior of a fuzzy soft bitopological space and prove some of their axioms. Through the use of a notion for soft quasi coincidence, as well as we characterized the concept for a fuzzy soft quasi pre-separation axioms of bito

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Mehmood, Arif, Mohammed M. Al-Shomrani, Muhammad Asad Zaighum, and Saleem Abdullah. "Characterization of Soft S-Open Sets in Bi-Soft Topological Structure Concerning Crisp Points." Mathematics 8, no. 12 (2020): 2100. http://dx.doi.org/10.3390/math8122100.

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In this article, a soft s-open set in soft bitopological structures is introduced. With the help of this newly defined soft s-open set, soft separation axioms are regenerated in soft bitopological structures with respect to crisp points. Soft continuity at some certain points, soft bases, soft subbase, soft homeomorphism, soft first-countable and soft second-countable, soft connected, soft disconnected and soft locally connected spaces are defined with respect to crisp points under s-open sets in soft bitopological spaces. The product of two soft axioms with respect crisp points with almost al

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Hassan, Ameer Mohammad-Husain. "Pre-Open Sets In Minimal Bitopological Spaces." Journal of Kufa for Mathematics and Computer 2, no. 3 (2015): 27–43. http://dx.doi.org/10.31642/jokmc/2018/020303.

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Let be a topological space, let be an M-structure on then is called a minimal bitopological space. In this work, I am study pre-open sets in minimal bitopological spaces with some result and definitions separation axioms on minimal bitopological with study some fundamental of their properties.

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Tripathy, Binod Chandra, and Shyamal Debnath. "Fuzzy $m$-structures $m$-open multifunctions and bitopological spaces." Boletim da Sociedade Paranaense de Matemática 37, no. 4 (2018): 119–28. http://dx.doi.org/10.5269/bspm.v37i4.35152.

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In this paper we study different weak forms of open multifunctionsfrom a fuzzy topological space into a fuzzy $m$-space. Further we study the same from a fuzzy bitopological space into a fuzzy bitopological spaces.

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Qoqazeh, Hamza, Ali Atoom, Maryam Alholi, et al. "$ KC $-bitopological spaces." AIMS Mathematics 9, no. 11 (2024): 32182–99. http://dx.doi.org/10.3934/math.20241545.

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<p>A topological space $ \left(X, \tau \right) $ is called a $ KC $-space when every compact subset of $ X $ is closed. The aim of this paper is to introduce new, namely $ KC $-bitopological spaces and pairwise $ KC $-topological spaces "$ P $-$ KC $-topological spaces". We examined the properties of these concepts and showed the relationships between these concepts and other bitopological spaces. We also discussed the effect of some types of functions on $ KC $-bitopological spaces and pairwise $ KC $-topological spaces. Several examples are discussed, and many well-known theories are g

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Thangaraj, G., and V. Chandiran. "Estimating Pairwise Fuzzy Spaces using Residual Sets Spaces." International Journal of Engineering and Advanced Technology 9, no. 1s5 (2019): 199–203. http://dx.doi.org/10.35940/ijeat.a1051.1291s519.

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The main focus of this paper is to introduce the new types of pairwise fuzzy Volterra spaces such as by introducing pairwise fuzzy residual sets in the place of pairwise fuzzy Gδ-sets in the definition of pairwise fuzzy Volterra space, a new kind of fuzzy bitopological space namely, pairwise fuzzy εr-Volterra spaces has been introduced and studied and also by introducing pairwise fuzzy pre-open sets in the place of pairwise fuzzy dense sets in the definition of pairwise fuzzy Volterra space, another kind of fuzzy bitopological space namely, pairwise fuzzy εr-Volterra spaces has been introduced

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Sarma, Diganta Jyoti, and Binod Chandra Tripathy. "Pairwise Generalized b-Ro Spaces in Bitopological Spaces." Proyecciones (Antofagasta) 36, no. 4 (2018): 589–600. https://doi.org/10.22199/issn.0717-6279-2537.

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The main purpose of this paper is to introduce pairwise generalized b-Ro spaces in bitopological spaces with the help of generalized b-open sets in bitopological spaces and give several characterizations of this spaces. We also introduce generalized b-kernel of a set and investigate some properties of it and study the relationship between this space and other bitopological spaces.

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Shalil,, S. H., S. A. El-Sheikh,, and S. A. Kandil,. "On Soft Bitopological Ordered Spaces." Malaysian Journal of Mathematical Sciences 18, no. 1 (2024): 9–38. http://dx.doi.org/10.47836/mjms.18.1.02.

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This paper introduces soft bitopological ordered spaces, combining soft topological spaces with partial order relations. The authors extensively investigate increasing, decreasing, and balancing pairwise open and closed soft sets, analyzing their properties. They prove that the collection of increasing (decreasing) open soft sets forms an increasing (decreasing) soft topology. The paper thoroughly examines increasing and decreasing pairwise soft closure and interior operators. Notably, it introduces bi−ordered soft separation axioms, denoted as PSTi(PST∙i,PST∗i,PST∗∗i)− ordered spaces, i=0,1,2

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Ghour, Samer Al, and Almothana Azaizeh. "Fuzzy Homogeneous Bitopological Spaces." International Journal of Electrical and Computer Engineering (IJECE) 8, no. 6 (2018): 4619. http://dx.doi.org/10.11591/ijece.v8i6.pp4619-4625.

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We continue the study of the concepts of minimality and homogeneity in the fuzzy context. Concretely, we introduce two new notions of minimality in fuzzy bitopological spaces which are called minimal fuzzy open set and pairwise minimal fuzzy open set. Several relationships between such notions and a known one are given. Also, we provide results about the transformation of minimal, and pairwise minimal fuzzy open sets of a fuzzy bitopological space, via fuzzy continuous and fuzzy open mappings, and pairwise continuous and pairwise open mappings, respectively. Moreover, we present two new notion

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Dissertations / Theses on the topic "Bitopological space"

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Mukherjee, Ajoy. "CERTAIN INVESTIGATIONS ON BITOPOLOGICAL SPACES." Thesis, University of North Bengal, 2013. http://ir.nbu.ac.in/handle/123456789/940.

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Jakl, Tomáš. "d-Frames as algebraic duals of bitopological spaces." Thesis, University of Birmingham, 2018. http://etheses.bham.ac.uk//id/eprint/8380/.

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Achim Jung and Drew Moshier developed a Stone-type duality theory for bitopological spaces, amongst others, as a practical tool for solving a particular problem in the theory of stably compact spaces. By doing so they discovered that the duality of bitopological spaces and their algebraic counterparts, called d-frames, covers several of the known dualities. In this thesis we aim to take Jung's and Moshier's work as a starting point and fill in some of the missing aspects of the theory. In particular, we investigate basic categorical properties of d-frames, we give a Vietoris construction for d

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Nailana, Koena Rufus. "Ordered spaces of continuous functions and bitopological spaces." Thesis, 2000. http://hdl.handle.net/10500/17559.

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This thesis is divided into two parts: Ordered spaces of Continuous Functions and the algebras associated with the topology of pointwise convergence of the associated construct, and Strictly completely regular bitopological spaces. The Motivation for part of the first part (Chapters 2, 3 and 4) comes from the recent study of function spaces for bitopological spaces in [44] and [45]. In these papers we see a clear generalisation of classical results in function spaces ( [14] and [55]) to bi-topological spaces. The well known definitions of the pointwise topology and the compact open topo

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Jakl, Tomáš. "d-Framy jako algebraické duály bitopologických prostorů." Doctoral thesis, 2018. http://www.nusl.cz/ntk/nusl-373804.

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Achim Jung and Drew Moshier developed a Stone-type duality theory for bitopological spaces, amongst others, as a practical tool for solving a particular problem in the theory of stably compact spaces. By doing so they discovered that the duality of bitopological spaces and their algebraic counterparts, called d-frames, covers several of the known dualities. In this thesis we aim to take Jung's and Moshier's work as a starting point and fill in some of the missing aspects of the theory. In particular, we investigate basic categorical properties of d-frames, we give a Vietoris construction for d

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Books on the topic "Bitopological space"

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Bitopological Spaces: Theory, Relations with Generalized Algebraic Structures, and Applications. Elsevier, 2005. http://dx.doi.org/10.1016/s0304-0208(05)x8090-2.

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Dvalishvili, Badri. Bitopological Spaces: Theory, Relations with Generalized Algebraic Structures and Applications. Elsevier Science & Technology Books, 2005.

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Bitopological spaces: Theory, relations with generalized algebraic structures, and applications. Elsevier, 2005.

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Dvalishvili, Badri. Bitopological Spaces: Theory, Relations with Generalized Algebraic Structures and Applications, Volume 199 (North-Holland Mathematics Studies). North Holland, 2005.

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Book chapters on the topic "Bitopological space"

1

Deb, Nilanjana, Jayasree Chakraborty, and Baby Bhattacharya. "On M-Bitopological Hyperconnected Space." In Information Systems Engineering and Management. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-71125-1_32.

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Pillai, Asha G., and P. B. Ramkumar. "On the Bitopological Space Associated with a 3-Uniform Semigraph." In Springer Proceedings in Mathematics & Statistics. Springer Nature Singapore, 2025. https://doi.org/10.1007/978-981-96-1505-6_23.

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Pillai, Asha G., and P. B. Ramkumar. "Some Properties of the Bitopological Space Associated With the 3-Uniform Semigraph of Cycle Graph." In Topological Dynamics and Topological Data Analysis. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-0174-3_22.

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Száz, Árpád. "Birelator Spaces Are Natural Generalizations of Not Only Bitopological Spaces, But Also Ideal Topological Spaces." In Mathematical Analysis and Applications. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-31339-5_21.

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Das, Birojit, and Baby Bhattacharya. "On (i, j) Generalized Fuzzy $$\gamma $$ -Closed Set in Fuzzy Bitopological Spaces." In Advances in Intelligent Systems and Computing. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-1592-3_52.

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"Dimension of Bitopological Spaces." In Bitopological Spaces: Theory, Relations with Generalized Algebraic Structures, and Applications. Elsevier, 2005. http://dx.doi.org/10.1016/s0304-0208(05)80105-7.

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"Baire-Like Properties of Bitopological Spaces." In Bitopological Spaces: Theory, Relations with Generalized Algebraic Structures, and Applications. Elsevier, 2005. http://dx.doi.org/10.1016/s0304-0208(05)80106-9.

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"Different Families of Sets in Bitopological Spaces." In Bitopological Spaces: Theory, Relations with Generalized Algebraic Structures, and Applications. Elsevier, 2005. http://dx.doi.org/10.1016/s0304-0208(05)80103-3.

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El-Tantawy, Osama A., Sobhy A. El-Sheikh, and Rasha N. Majeed. "Generalized Fuzzy Closed Sets in Smooth Bitopological Spaces." In Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing. IGI Global, 2016. http://dx.doi.org/10.4018/978-1-4666-9798-0.ch020.

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This chapter is devoted to the study of r-generalized fuzzy closed sets (briefly, gfc sets) in smooth bitopological spaces (briefly, smooth bts) in view definition of Šostak (1985). The chapter is divided into seven sections. The aim of Sections 1-2 is to introduce the fundamental concepts related to the work. In Section 3, the concept of r-(ti,tj)-gfc sets in the smooth bts's is introduce and investigate some notions of these sets, generalized fuzzy closure operator induced from these sets. In Section 4, (i,j)-GF-continuous (respectively, irresolute) mappings are introduced. In Section 5, the

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"Dynamics of Bitopological Relations, Baire-Like Properties and Dimensions." In Bitopological Spaces: Theory, Relations with Generalized Algebraic Structures, and Applications. Elsevier, 2005. http://dx.doi.org/10.1016/s0304-0208(05)80107-0.

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Conference papers on the topic "Bitopological space"

1

Sun, Shou-Bin, Ling-Qiang Li, and Guang-Wu Meng. "S*-pairwise Compactness in L-bitopological Space." In Its Applications and Embedded Sys (CDEE). IEEE, 2010. http://dx.doi.org/10.1109/cdee.2010.25.

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Selvi, A., Nancy C. Jenita, and Lancy A. Arokia. "Semi star generalized closed sets in vague bitopological space." In 2ND INTERNATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS: ICMTA2021. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0108543.

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Wu, Jian-rong. "Connectedness of Fuzzy Bitopological Spaces." In 2006 International Conference on Machine Learning and Cybernetics. IEEE, 2006. http://dx.doi.org/10.1109/icmlc.2006.258970.

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Lee, Seok Jong, and Jin Tae Kim. "Some properties of intuitionistic fuzzy bitopological spaces." In 2012 Joint 6th Intl. Conference on Soft Computing and Intelligent Systems (SCIS) and 13th Intl. Symposium on Advanced Intelligent Systems (ISIS). IEEE, 2012. http://dx.doi.org/10.1109/scis-isis.2012.6505156.

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Rajakumar, S. "τ1τ2-α-g∗∗-closed sets in bitopological spaces". У RECENT TRENDS IN PURE AND APPLIED MATHEMATICS. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5135249.

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Jeyamary, M. Arline, та K. Alli. "(1, 2)-gβ^-closed sets in bitopological spaces". У INTERNATIONAL CONFERENCE ON ADVANCES IN MATERIALS, COMPUTING AND COMMUNICATION TECHNOLOGIES: (ICAMCCT 2021). AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0071175.

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Ozturk, Taha Yasin, and Melike Karademır. "Soft pair-wise b-continuity on soft bitopological spaces." In II. INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2017. Author(s), 2017. http://dx.doi.org/10.1063/1.4981703.

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Nancy, C. Jenita, and A. Arokia Lancy. "Semi*generalized locally closed sets in vague bitopological spaces." In INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE “TECHNOLOGY IN AGRICULTURE, ENERGY AND ECOLOGY” (TAEE2022). AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0103947.

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Qousini, Maysoon, and Omar Ghanam. "A Brief Review For Separation Axioms In Bitopological Spaces." In 2023 International Conference on Information Technology (ICIT). IEEE, 2023. http://dx.doi.org/10.1109/icit58056.2023.10226068.

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Ozturk, Taha Yasin. "Soft pair-wise b-open sets on soft bitopological spaces." In INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2016. Author(s), 2016. http://dx.doi.org/10.1063/1.4945872.

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