Results 11 to 20 of about 4,922,109 (351)
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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Tilings in topological spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 1999 A tiling of a topological space X is a covering of X by sets (called tiles) which are the closures of their pairwise-disjoint interiors. Tilings of ℝ2 have received considerable attention (see [2] for a wealth of interesting examples and results as well ...
F. G. Arenas
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On complete topological spaces [PDF]
Transactions of the American Mathematical Society, 1935 DEFINITION I. If M is a space in which there is defined a metric dist (f, g) satisfying the usual postulates for distance ([1], p. 94), then a sequence F: fl, f2, * * * is fundamental if, for every 3>0, there exists an n = nli (3) such that m, n > ni imply dist (fn, f,) 0, there exists an n2 = n2(8) such that n > n2 implies dist (f, f,) < 8.
John von Neumann
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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 Let two compact connected oriented smooth Riemannian manifolds \(M\) and \(N\) (with or without boundary) be given. It is supposed that \(\dim M\geq 2\); the example \(N=S^1\) is of importance. Let \(W^{1,p}(M,N)\) be the Sobolev space of functions \(u\in W^{1,p} (M,\mathbb{R}^k)\) with \(u(x)\in N\) a.e.
Haim Brezis, Yanyan Li
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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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Observation of novel topological states in hyperbolic lattices [PDF]
Nature Communications, 2022 The discovery of novel topological states has served as a major branch in physics and material sciences. To date, most of the established topological states have been employed in Euclidean systems. Recently, the experimental realization of the hyperbolic
Weixuan Zhang +4 more
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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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Nonlinearity induced topological physics in momentum space and real space [PDF]
, 2020 Nonlinearity induced topological properties in nonlinear lattice systems are studied in both momentum space and real space. Experimentally realizable through the Kerr effect on photonic waveguide systems, our working model depicts onsite nonlinearity ...
Thomas Tuloup +3 more
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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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