Results 11 to 20 of about 4,759,530 (282)
Local compactness in approach spaces I [PDF]
International Journal of Mathematics and Mathematical Sciences, 1998 This paper introduces some definitions of a concept of local compactness in approach spaces. The basic relationships between these concepts is studied, and measures of local compactness are defined.
R. Lowen, C. Verbeeck
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Sobolev Spaces on Locally Compact Abelian Groups: Compact Embeddings and Local Spaces [PDF]
Journal of Function Spaces, 2014 We continue our research on Sobolev spaces on locally compact abelian (LCA) groups motivated by our work on equations with infinitely many derivatives of interest for string theory and cosmology. In this paper, we focus on compact embedding results and we prove an analog for LCA groups of the classical Rellich lemma and of the Rellich-Kondrachov ...
Przemysław Górka +2 more
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On generalization of homotopy axiom
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 In [S. Kermit, Proc. Amer. Math. Soc., 1972, 31(1):271-275] it was proven that if G is compact topological group or field then in the homotopy axiom for Alexander-Spanier-Kolmogoroff cohomology the parameter segment [0;1] can be replaced by any compact ...
Umed Karimov
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Constructions and Properties of Quasi Sigma-Algebra in Topological Measure Space
Axioms, 2022 The topological views of a measure space provide deep insights. In this paper, the sigma-set algebraic structure is extended in a Hausdorff topological space based on the locally compactable neighborhood systems without considering strictly (metrized ...
Susmit Bagchi
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Conformal Transformation of Uniform Domains Under Weights That Depend on Distance to The Boundary
Analysis and Geometry in Metric Spaces, 2022 The sphericalization procedure converts a Euclidean space into a compact sphere. In this note we propose a variant of this procedure for locally compact, rectifiably path-connected, non-complete, unbounded metric spaces by using conformal deformations ...
Gibara Ryan, Shanmugalingam Nageswari
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Slice Theorem For Differential Spaces And Reduction By Stages
Demonstratio Mathematica, 2014 We show that the space P/G of orbits of a proper action of a Lie group G on a locally compact differential space P is a locally compact differential space with quotient topology.
Lusala Tsasa, Śniatycki Jędrzej
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Applied General Topology, 2008 In this note a new class of topological spaces generalizing k-spaces, the pseudo-k-spaces, is introduced and investigated. Particular attention is given to the study of products of such spaces, in analogy to what is already known about k-spaces and quasi-
Anna Maria Miranda
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Compact manifolds with computable boundaries [PDF]
Logical Methods in Computer Science, 2013 We investigate conditions under which a co-computably enumerable closed set in a computable metric space is computable and prove that in each locally computable computable metric space each co-computably enumerable compact manifold with computable ...
Zvonko Iljazovic
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Finite Unions of D-Spaces and Applications of Nearly Good Relation
Discrete Dynamics in Nature and Society, 2013 Some results are obtained on finite unions of D-spaces. It is proved that if a space is the union of finitely many locally compact D-subspaces, then it is a D-space. It follows that a space is a D-space if it is the union of finitely many locally compact
Xin Zhang, Hongfeng Guo, Yuming Xu
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Pairwise locally compact and compactification in
Journal of Kufa for Mathematics and Computer, 2019 The concept of intuitionistic topological space was introduced by Çoker. The aim of this paper is to generalize notions between bitopological spaces and double topological spaces and also give a notion of pairwise locally compact and compactification ...
Rewayda Mohsin
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