Results 1 to 10 of about 116,034 (197)
Weak topologies on subspaces of $C(S)$ [PDF]
Transactions of the American Mathematical Society, 1971 Let S be a locally compact Hausdorff space, E a linear subspace of C(S). It is shown that the unit ball of E is compact in the strict topology if and only if both of the following two conditions are satisfied: (1) E is the Banach space dual of M(S)/EO in the integration pairing, and (2) the bounded weak star topology on E coincides with the strict ...
Joel H. Shapiro
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Zariski Subspace Topologies On Ideals
Hacettepe Journal of Mathematics and Statistics, 2018 Summary: In this paper, we show how there are tight relationships between algebraic properties of a commutative ring \(R\) and topological properties of open subsets of Zariski topology on the prime spectrum of \(R\). We investigate some algebraic conditions for open subsets of Zariski topology to become quasi-compact, dense and irreducible.
Ortaç Öneş, Mustafa Alkan
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The topology of ultrafilters as subspaces of $2^\omega$ [PDF]
Topology and its Applications, 2011 22 ...
Andrea Medini, David Milovich
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Paracompact subspaces in the box product topology [PDF]
Proceedings of the American Mathematical Society, 1996 In 1975 E. K. van Douwen showed that if ( X n ) n ∈ ω ( X_n )_{ n \in \omega } is a family of Hausdorff spaces such that all finite subproducts ∏ n > m
Peter Nyikos, Leszek Piątkiewicz
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TOPOLOGIES GENERATED BY DISCRETE SUBSPACES
Glasnik matematički, 2002 A topological space \(X\) is called discretely generated if for every \(A\subset X\) the closure of \(A\) is the union of the closures of discrete subspaces of \(A\), and \(X\) is a weakly discretely generated space if for every \(A\subset X\) with \(\overline{A}\neq A\) there exists a discrete subset \(D\) of \(A\) such that \(\overline{D ...
Alan Dow +3 more
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PSEUDOCOMPACT GROUP TOPOLOGIES WITH PRESCRIBED TOPOLOGICAL SUBSPACES
, 2009 We prove that every pseudocompact topological Abelian group G admits a pseudocompact topological group topology with a non-trivial convergent sequence. Imposing some restrictions on the properties of G, stronger properties are also obtained.
Jorge Galindo +2 more
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Decoherence and relaxation of topological states in extended quantum Ising models
SciPost Physics, 2019 We study the decoherence and the relaxation dynamics of topological states in an extended class of quantum Ising chains which can present a manyfold ground state subspace.
Hannes Weisbrich, Wolfgang Belzig, Gianluca Rastelli
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Algebraic properties of subspace topologies [PDF]
Advances in Pure and Applied MathematicsSummary: It is shown that the collection of all topologies on a given set \(X\) coincides with the set of subsemirings of the power set \(\mathcal{P}(X)\) (equipped with union and intersection) if and only if \(X\) is finite. Furthermore, given a topological space \((X, \mathcal{T})\) and a subset \(A\) of \(X\), we characterize when the subspace ...
Noômen Jarboui, Bana Al Subaiei
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Normal subspaces of the density topology [PDF]
Pacific Journal of Mathematics, 1978 Franklin D. Tall
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Triangular Neutrosophic Topology [PDF]
Neutrosophic Sets and Systems, 2021 In this current article, the primary focus is to develop the concept of neutrosophic topology as triangular neutrosophic topology. We extend the neutrosophic set operations, we newly introduce the defuzzification, examples, and basics to clear the ...
Ali Hamza +2 more
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