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Graded topological spaces [PDF]
Proceedings of the American Mathematical Society, 2019 We introduce the notion of a "graded topological space": a topological space endowed with a sheaf of abelian groups which we think of as a sheaf of gradings.
Koppensteiner, Clemens
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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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International Journal of Theoretical Physics, 2004 A test space is the set of outcome-sets associated with a collection of experiments. This notion provides a simple mathematical framework for the study of probabilistic theories -- notably, quantum mechanics -- in which one is faced with incommensurable ...
A. Gleason +8 more
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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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Minimal Topological Spaces [PDF]
Transactions of the American Mathematical Society, 1963 Manuel P. Berri
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Topology and Sobolev Spaces [PDF]
Journal of Functional Analysis, 2000 AbstractConsider the Sobolev class W1, p(M, N) where M and N are compact manifolds. We present some sufficient conditions which guarantee that W1, p(M, N) is path-connected. We also discuss cases where W1, p(M, N) admits more than one component. There are still a number of open problems, especially concerning the values of p where a change in homotopy ...
Haim Brezis, Yanyan Li
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