Relevant bibliographies by topics / Mapping (Mathematics) Topological spaces

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Academic literature on the topic 'Mapping (Mathematics) Topological spaces'

Author: Grafiati
Published: 4 June 2021
Last updated: 10 February 2022

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Journal articles on the topic "Mapping (Mathematics) Topological spaces"

1

Noll, Dominik. "Open mapping theorems in topological spaces." Czechoslovak Mathematical Journal 35, no. 3 (1985): 373–84. http://dx.doi.org/10.21136/cmj.1985.102027.

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Ramadan, A. A., S. E. Abbas, and A. A. Abd El-Latif. "Compactness in intuitionistic fuzzy topological spaces." International Journal of Mathematics and Mathematical Sciences 2005, no. 1 (2005): 19–32. http://dx.doi.org/10.1155/ijmms.2005.19.

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We introduce fuzzy almost continuous mapping, fuzzy weakly continuous mapping, fuzzy compactness, fuzzy almost compactness, and fuzzy near compactness in intuitionistic fuzzy topological space in view of the definition of Šostak, and study some of their properties. Also, we investigate the behavior of fuzzy compactness under several types of fuzzy continuous mappings.
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Gunduz (Aras), Cigdem, and Sadi Bayramov. "Some Results on Fuzzy Soft Topological Spaces." Mathematical Problems in Engineering 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/835308.

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We introduce some important properties of fuzzy soft topological spaces. Furthermore, fuzzy soft continuous mapping, fuzzy soft open and fuzzy soft closed mappings, and fuzzy soft homeomorphism for fuzzy soft topological spaces are given and structural characteristics are discussed and studied.
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Xu, Zhen-Guo, and Fu-Gui Shi. "Some weakly mappings on intuitionistic fuzzy topological spaces." Tamkang Journal of Mathematics 39, no. 1 (March 31, 2008): 25–32. http://dx.doi.org/10.5556/j.tkjm.39.2008.42.

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In this paper, we shall introduce concepts of fuzzy semiopen set, fuzzy semiclosed set, fuzzy semiinterior, fuzzy semiclosure on intuitionistic fuzzy topological space and fuzzy open (fuzzy closed) mapping, fuzzy irresolute mapping, fuzzy irresolute open (closed) mapping, fuzzy semicontinuous mapping and fuzzy semiopen (semiclosed) mapping between two intuitionistic fuzzy topological spaces. Moreover, we shall discuss their some properties.
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Liu, Xin, and Shou Lin. "On spaces defined by Pytkeev networks." Filomat 32, no. 17 (2018): 6115–29. http://dx.doi.org/10.2298/fil1817115l.

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The notions of networks and k-networks for topological spaces have played an important role in general topology. Pytkeev networks, strict Pytkeev networks and cn-networks for topological spaces are defined by T. Banakh, and S. Gabriyelyan and J. K?kol, respectively. In this paper, we discuss the relationship among certain Pytkeev networks, strict Pytkeev networks, cn-networks and k-networks in a topological space, and detect their operational properties. It is proved that every point-countable Pytkeev network for a topological space is a quasi-k-network, and every topological space with a point-countable cn-network is a meta-Lindel?f D-space, which give an affirmative answer to the following problem [25, 29]: Is every Fr?chet-Urysohn space with a pointcountable cs'-network a meta-Lindel?f space? Some mapping theorems on the spaces with certain Pytkeev networks are established and it is showed that (strict) Pytkeev networks are preserved by closed mappings and finite-to-one pseudo-open mappings, and cn-networks are preserved by pseudo-open mappings, in particular, spaces with a point-countable Pytkeev network are preserved by closed mappings.
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MA, TSOY-WO. "INVERSE MAPPING THEOREM ON COORDINATE SPACES." Bulletin of the London Mathematical Society 33, no. 4 (July 2001): 473–82. http://dx.doi.org/10.1017/s0024609301008050.

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A mean-value theorem, an inverse mapping theorem and an implicit mapping theorem are established here in a class of complex locally convex spaces, including the spaces of test functions in distribution theory. Our main tool is the integral formula and the invariance of the domain, derived from topological degrees, rather than from fixed points of contractions in Banach spaces.
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Singh Rajput, Alpa, S. S. Thakur, and Om Prakash Dubey. "SOFT ALMOST β-CONTINUITY IN SOFT TOPOLOGICAL SPACES." International Journal of Students' Research in Technology & Management 8, no. 2 (June 16, 2020): 06–14. http://dx.doi.org/10.18510/ijsrtm.2020.822.

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Purpose: In the present paper the concept of soft almost β-continuous mappings and soft almost β-open mappings in soft topological spaces have been introduced and studied. Methodology: This notion is weaker than both soft almost pre-continuous mappings, soft almost semi-continuous mapping. The diagrams of implication among these soft classes of soft mappings have been established. Main Findings: We extend the concept of almost β-continuous mappings and almost β-open mappings in soft topology. Implications: Mapping is an important and major area of topology and it can give many relationships between other scientific areas and mathematical models. This notion captures the idea of hanging-togetherness of image elements in an object by assigning strength of connectedness to every possible path between every possible pair of image elements. It is an important tool for the designing of algorithms for image segmentation. The novelty of Study: Hope that the concepts and results established in this paper will help the researcher to enhance and promote the further study on soft topology to carry out a general framework for the development of information systems.
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Dineen, Seán, Pablo Galindo, Domingo García, and Manuel Maestre. "Linearization of holomorphic mappings on fully nuclear spaces with a basis." Glasgow Mathematical Journal 36, no. 2 (May 1994): 201–8. http://dx.doi.org/10.1017/s0017089500030743.

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In [13] Mazet proved the following result.If U is an open subset of a locally convex space E then there exists a complete locally convex space (U) and a holomorphic mapping δU: U→(U) such that for any complete locally convex space F and any f ɛ ℋ (U;F), the space of holomorphic mappings from U to F, there exists a unique linear mapping Tf: (U)→F such that the following diagram commutes;The space (U) is unique up to a linear topological isomorphism. Previously, similar but less general constructions, have been considered by Ryan [16] and Schottenloher [17].
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Das, Birojit, Baby Bhattacharya, and Apu Kumar Saha. "Some remarks on fuzzy infi topological spaces." Proyecciones (Antofagasta) 40, no. 2 (April 2021): 399–415. http://dx.doi.org/10.22199/issn.0717-6279-2021-02-0024.

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Induced fuzzy infi topological space is already introduced by Saha and Bhattacharya [Saha A.K., Bhattacharya D. 2015, Normal Induced Fuzzy Topological Spaces, Italian Journal of Pure and Applied Mathematics, 34, 45-56]. In this paper for the said space, we further analyse some properties viz. fuzzy I-continuity, fuzzy infi open mappings and fuzzy infi closed mappings etc. Also we study product fuzzy infi topological space and establish some results concerned with it.
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Borsík, Ján, Lubica Holá, and Dusan Holý. "Baire spaces and quasicontinuous mappings." Filomat 25, no. 3 (2011): 69–83. http://dx.doi.org/10.2298/fil1103069b.

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The notion of quasicontinuity was perhaps the first time used by R. Baire in [2]. Let X, Y be topological spaces and Q(X,Y) be the space of quasicontinuous mappings from X to Y. If X is a Baire space and Y is metrizable, in Q(X,Y) we can approach each (x, y) in the graph Grf of f along some trajectory of the form {(xk, fnk (xk )): k??} if and only if we can approach most points along a vertical trajectory. This result generalizes Theorem 5 from [3]. Moreover in the class of topological spaces with the property QP we give a characterization of Baire spaces by the above mentioned fact. We also study topological spaces with the property QP.
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Dissertations / Theses on the topic "Mapping (Mathematics) Topological spaces"

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Stover, Derrick D. "Continuous Mappings and Some New Classes of Spaces." View abstract, 2009. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:3371579.

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Jones, Leslie Braziel Raines Brian Edward. "Adding machines." Waco, Tex. : Baylor University, 2009. http://hdl.handle.net/2104/5311.

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Thompson, Scotty L. "Comparing Topological Spaces Using New Approaches to Cleavability." View abstract, 2009. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:3372574.

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Kaczynski, Tomasz. "Topological transversality of condensing set-valued maps." Thesis, McGill University, 1986. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=73995.

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Abu, Safiya Abdul Sami'e Muhammad. "Bifuzzy topological spaces." Thesis, City University London, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.358109.

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Kolat, Alycia M. "Topological Function Spaces." Youngstown State University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1314380881.

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Moody, Philip. "Neighbourhood conditions on topological spaces." Thesis, University of Oxford, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.236175.

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Nada, S. I. M. "Studies on topological ordered spaces." Thesis, University of Southampton, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.376798.

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Nielsen, Mark J. "Tilings of topological vector spaces /." Thesis, Connect to this title online; UW restricted, 1990. http://hdl.handle.net/1773/5763.

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Ntumba, Patrice Pungu. "DW complexes and their underlying topological spaces." Doctoral thesis, University of Cape Town, 2001. http://hdl.handle.net/11427/4915.

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Bibliography: leaves 126-128.
The naive concept of a DW complex is that of a differential space that can be built up from cells and whose differential structure is defined in terms of differential structures on euclidean unit closed balls. This concept stems from an analogue in the category of topological spaces: the so-called CW complex (introduced by J.H.C. Whitehead in 1949).
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Books on the topic "Mapping (Mathematics) Topological spaces"

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The clone of a topological space. Berlin: Heldermann, 1986.

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1942-, Graaf J. de, ed. Trajectory spaces, generalized functions, and unbounded operators. Berlin: Springer-Verlag, 1985.

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1862-1943, Hilbert David, ed. Hilbert's projective metric and iterated nonlinear maps. Providence, R.I., USA: American Mathematical Society, 1988.

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Nussbaum, Roger D. Iterated nonlinear maps and Hilbert's projective metric, II. Providence, R.I., USA: American Mathematical Society, 1989.

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Nikiel, Jacek. Continuous images of arcs and inverse limit methods. Providence, RI: American Mathematical Society, 1993.

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1940-, Beckenstein Edward, ed. Topological vector spaces. 2nd ed. Boca Raton: Taylor & Francis, 2011.

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M, Ruiz Jesús, ed. Mapping degree theory. Providence, R.I: American Mathematical Society, 2009.

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Domínguez, E. Outerelo. Mapping degree theory. Providence, R.I: American Mathematical Society, 2009.

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James, Turrell. Mapping spaces: A topological survey of the work by James Turrell. New York: Peter Blum Edition, 1987.

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service), SpringerLink (Online, ed. Homogeneous Spaces and Equivariant Embeddings. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2011.

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Book chapters on the topic "Mapping (Mathematics) Topological spaces"

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Komornik, Vilmos. "Topological Spaces." In Springer Undergraduate Mathematics Series, 37–64. London: Springer London, 2017. http://dx.doi.org/10.1007/978-1-4471-7316-8_2.

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Conway, John B. "Topological Spaces." In Undergraduate Texts in Mathematics, 39–74. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-02368-7_2.

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Naber, Gregory L. "Topological Spaces." In Texts in Applied Mathematics, 27–96. New York, NY: Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-7254-5_1.

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Prasolov, V. "Topological spaces." In Graduate Studies in Mathematics, 87–137. Providence, Rhode Island: American Mathematical Society, 2006. http://dx.doi.org/10.1090/gsm/074/04.

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Crossley, Martin D. "Topological Spaces." In Springer Undergraduate Mathematics Series, 15–34. London: Springer London, 2010. http://dx.doi.org/10.1007/1-84628-194-6_3.

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Félix, Yves, Stephen Halperin, and Jean-Claude Thomas. "Topological spaces." In Graduate Texts in Mathematics, 1–3. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4613-0105-9_1.

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Mordeson, John N., and Premchand S. Nair. "Fuzzy Topological Spaces." In Fuzzy Mathematics, 67–113. Heidelberg: Physica-Verlag HD, 2001. http://dx.doi.org/10.1007/978-3-7908-1808-6_3.

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Bourbaki, Nicolas. "Topological Spaces." In Elements of the History of Mathematics, 139–43. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-61693-8_10.

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Doberkat, Ernst-Erich. "Topological Spaces." In Special Topics in Mathematics for Computer Scientists, 281–425. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-22750-4_3.

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Gelbaum, Bernard R. "Topological Vector Spaces." In Problem Books in Mathematics, 305–68. New York, NY: Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4612-0925-6_21.

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Conference papers on the topic "Mapping (Mathematics) Topological spaces"

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Bamini, S., M. Saraswathi, B. Vijayalakshmi, and A. Vadivel. "Fuzzy M-irresolute mappings and fuzzy M-connectedness in smooth topological spaces." In RECENT TRENDS IN PURE AND APPLIED MATHEMATICS. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5135191.

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Jumaili, Alaa M. F. AL. "On some weak and strong forms of irresolute mappings in topological spaces via E-open and δ-β-open sets." In PROCEEDING OF THE INTERNATIONAL CONFERENCE ON MATHEMATICS, ENGINEERING AND INDUSTRIAL APPLICATIONS 2018 (ICoMEIA 2018). Author(s), 2018. http://dx.doi.org/10.1063/1.5054247.

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Latif, Raja Mohammad. "Almost Alpha – Topological Vector Spaces." In 2020 International Conference on Mathematics and Computers in Science and Engineering (MACISE). IEEE, 2020. http://dx.doi.org/10.1109/macise49704.2020.00019.

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Periyasamy, P., A. Vadivel, V. Chandrasekar, and G. Saravanakumar. "e-normality of double fuzzy topological spaces." In RECENT TRENDS IN PURE AND APPLIED MATHEMATICS. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5135276.

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Chitrakala, K., A. Vadivel, and G. Saravanakumar. "Some generalization of neighbourhoods in nano topological spaces." In RECENT TRENDS IN PURE AND APPLIED MATHEMATICS. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5135195.

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Sobana, D., A. Vadivel, and V. Chandrasekar. "Fuzzy e-continuity in Ŝostak’s fuzzy topological spaces." In RECENT TRENDS IN PURE AND APPLIED MATHEMATICS. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5135265.

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Vijayalakshmi, R., and A. P. Mookambika. "Some new nano sets in nano topological spaces." In RECENT TRENDS IN PURE AND APPLIED MATHEMATICS. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5135280.

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Rajakumar, S., and M. Matheswaran. "On generalized αρ - Closed sets in topological spaces." In RECENT TRENDS IN PURE AND APPLIED MATHEMATICS. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5135250.

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Bhattacharya, Baby, Jayasree Chakraborty, and Arnab Paul. "A New Approach to Generalized Fuzzy Topological Spaces." In Annual International Conference on Computational Mathematics, Computational Geometry & Statistics. Global Science and Technology Forum (GSTF), 2015. http://dx.doi.org/10.5176/2251-1911_cmcgs15.18.

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Konca, Şükran, and Mahpeyker Öztürk. "Some topological and geometric properties of sequence spaces involving lacunary sequence in n-normed spaces." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756302.

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