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On the Structure of Topological Spaces [PDF]
Axioms, 2022 The structure of topological spaces is analysed here through the lenses of fibrous preorders. Each topological space has an associated fibrous preorder and those fibrous preorders which return a topological space are called spatial.
Nelson Martins-Ferreira
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Fuzzy metric topology space and manifold [PDF]
Journal of Fuzzy Extension and Applications, 2023 This paper, considers the fuzzy topological subsets, fuzzy topological spaces and introduces a novel concept of fuzzy Hausdorff space and fuzzy manifold space in this regards. Based on these concepts, we present a concept of fuzzy metric Hausdorff spaces
Mahdi Mollaei Arani
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Pentapartitioned Neutrosophic Topological Space [PDF]
Neutrosophic Sets and Systems, 2021 The main focus of this study is to present the notions of pentapartitioned neutrosophic topological space. We introduce the notions of closure and interior operator of pentapartitioned neutrosophic sets in pentapartitioned neutrosophic topological space ...
Suman Das, Binod Chandra Tripathy
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\(\mathcal{I}^{\mathcal{K}}\)-SEQUENTIAL TOPOLOGY
Ural Mathematical Journal, 2023 In the literature, \(\mathcal{I}\)-convergence (or convergence in \(\mathcal{I}\)) was first introduced in [11]. Later related notions of \(\mathcal{I}\)-sequential topological space and \(\mathcal{I}^*\)-sequential topological space were introduced and ...
H. S. Behmanush, M. Küçükaslan
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Neutrosophic Tri-Topological Space [PDF]
Neutrosophic Sets and Systems, 2021 In this article, we present the notion of neutrosophic tri-topological space as a generalization of neutrosophic bi-topological space. Besides, we study the different types of open sets and closed sets namely neutrosophic tri-open sets, neutrosophic tri ...
Suman Das, Surapati Pramanik
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Separation Axioms for Intuitionistic Neutrosophic Crisp supra and Infra Topological Spaces [PDF]
Neutrosophic Sets and Systems, 2023 The objective of this paper is to introduce a new intuitionistic neutrosophic crisp points in intuitionistic neutrosophic crisp topological space, where the intuitionistic neutrosophic crisp limit point was defined using intuitionistic neutrosophic crisp
Riad K. Al-Hamido
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Neutrosophic Multiset Topological Space [PDF]
Neutrosophic Sets and Systems, 2020 In this article we have investigated some properties of netrosophic multiset topology. The behavior of compactness and connectedness in netrosophic multiset topology, continuous function on netrosophic multiset topology etc have been examined ...
Rakhal Das, Binod Chandra Tripathy
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Separation axioms in neutrosophic supra topological space and neutrosophic supra bi-topological space [PDF]
Neutrosophic Sets and Systems, 2022 In this paper, as a new separation axioms in neutrosophic supra topological space, NS-Ti- space (i=0,1,2) is built in this space. Moreover, SN.T1T2-open(closed) sets are defined in neutrosophic supra bi-topological spaces. Also SNBi-Ti-space (i=0,1,2) is
Riad K. Al-Hamido
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Generalized fuzzy closed sets in generalized fuzzy topological spaces [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2019 This paper aims to put forward one more difference between generalized topological space and generalized fuzzy topological space via generalized closed set in the respective fields.
Jayasree Chakraborty +2 more
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Cycle spaces in topological spaces [PDF]
Journal of Graph Theory, 2008 AbstractWe develop a general model of edge spaces in order to generalize, unify, and simplify previous work on cycle spaces of infinite graphs. We give simple topological criteria to show that the fundamental cycles of a (generalization of a) spanning tree generate the cycle space in a connected, compact, weakly Hausdorff edge space.
Antoine Vella, R. Bruce Richter
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