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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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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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Observation of higher-order time-dislocation topological modes [PDF]
Nature CommunicationsTopological dislocation modes resulting from the interplay between spatial dislocations and momentum-space topology have recently attracted significant interest.
Jia-Hui Zhang +6 more
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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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Convergence of closed subsets in a topological space [PDF]
, 1965 In some recent work, the author attempted to place a topology, or at least a Borel structure (see [4, ? ?1-3]) on the set of closed left ideals in a separable Banach algebra. Our approach was to introduce a notion of convergence for nets in the set e0(X)
Edward G. Effros
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Topological Space-Time Crystal. [PDF]
Physical Review Letters, 2022 We introduce a new class of out-of-equilibrium noninteracting topological phases: the topological space-time crystals. These are time-dependent quantum systems that do not have discrete spatial translation symmetries but instead are invariant under ...
Yang Peng
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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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Topological Photonic Crystals: Physics, Designs, and Applications [PDF]
Laser & Photonics reviews, 2022 Recent research in topological photonics has not only proposed and realized novel topological phenomena such as one‐way broadband propagation and robust transport of light, but also designed and fabricated photonic devices with high‐performance indexes ...
Guo-Jing Tang +5 more
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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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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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