Results 1 to 10 of about 69 (69)
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. A special class of spatial fibrous preorders consisting of an interconnected family of preorders indexed by a unitary ...
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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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Hyperspaces of topological vector spaces: their embedding in topological vector spaces [PDF]
Proceedings of the American Mathematical Society, 1976 Let L L be a real (Hausdorff) topological vector space. The space
Prem Prakash, Murat R. Sertel
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Summability in topological spaces
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hüseyin Çakalli, M. K. Khan
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Topological Structures on DMC Spaces † [PDF]
Entropy, 2017 Two channels are said to be equivalent if they are degraded from each other. The space of equivalent channels with input alphabet X and output alphabet Y can be naturally endowed with the quotient of the Euclidean topology by the equivalence relation.
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Far East Journal of Dynamical Systems, 2002 We give a definition of chaos for a continuous self map of a general topological space. We show that in a uniform Hausdorff space there is a meaningful definition of sensitive dependence on initial conditions. We prove that a continuous self map of a uniform Hausdorff space that is chaotic in the sense defined is necessarily sensitively dependent on ...
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Discretization of Topological Spaces [PDF]
The Quarterly Journal of Mathematics, 2016 19 ...
Amini, Massoud, Golestani, Nasser
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International Journal of Theoretical Physics, 2005 12 pp., LaTeX 2e. To appear in Int. J.
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Computers & Mathematics with Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Muhammad Shabir, Munazza Naz
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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.
Brezis, Haim, Li, Yanyan
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