Results 31 to 40 of about 538,556 (355)
On compactness in locally convex spaces
Mathematische Zeitschrift, 1987 We describe a class \({\mathcal G}\) of locally convex spaces that contains the metrizable spaces and the dual metric spaces and such that: (1) \({\mathcal G}\) is stable by the following operations: arbitrary subspaces, separated quotients, countable locally convex direct sums, countable products and completions.
Cascales, B., Orihuela, J.
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Coarse equivalence and topological couplings of locally compact groups [PDF]
, 2016 M. Gromov has shown that any two finitely generated groups $$\Gamma $$Γ and $$\Lambda $$Λ are quasi-isometric if and only if they admit a topological coupling, i.e., a commuting pair of proper continuous cocompact actions $$\Gamma \curvearrowright X ...
U. Bader, Christian Rosendal
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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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Continuous functions with compact support
Applied General Topology, 2004 The main aim of this paper is to investigate a subring of the ring of continuous functions on a topological space X with values in a linearly ordered field F equipped with its order topology, namely the ring of continuous functions with compact support ...
Sudip Kumar Acharyya +2 more
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Lifting Theorems for Continuous Order-Preserving Functions and Continuous Multi-Utility
Axioms, 2023 We present some lifting theorems for continuous order-preserving functions on locally and σ-compact Hausdorff preordered topological spaces. In particular, we show that a preorder on a locally and σ-compact Hausdorff topological space has a continuous ...
Gianni Bosi, Magalì Zuanon
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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 ...
Enrique G. Reyes +2 more
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International Journal of Mathematics and Mathematical Sciences, 1994 In this paper we study θ-regularity and its relations to other topological properties. We show that the concepts of θ-regularity (Janković, 1985) and point paracompactness (Boyte, 1973) coincide.
Martin M. Kovár
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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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On Some Results in Fuzzy Length Space
Al-Mustansiriyah Journal of Science, 2020 In this paper, depending on the notion of fuzzy length space we define the Cartesian product of two fuzzy length spaces. we proved that the Cartesian product of two fuzzy length spaces is a fuzzy length space.
Raghad I. Sabri +2 more
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$L^p$-Conjecture on Hypergroups [PDF]
Sahand Communications in Mathematical Analysis, 2018 In this paper, we study $L^p$-conjecture on locally compact hypergroups and by some technical proofs we give some sufficient and necessary conditions for a weighted Lebesgue space $L^p(K,w)$ to be a convolution Banach algebra, where ...
Seyyed Mohammad Tabatabaie +1 more
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