Results 11 to 20 of about 367,563 (325)
Local Connection in Locally Compact Spaces [PDF]
Proceedings of the American Mathematical Society, 1950 It was proved by Hurewiczl that a compact space which is both LC1 and lc" is LCD. In the present paper the corresponding result for locally compact spaces is proved, (a) for uniform local connection, and (b) for relative local connection.2 The extension of Hurewicz's theorem to locally compact spaces is included in (b). The main difficulty in extending
M. H. A. Newman
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Locally compact convergence spaces. [PDF]
Michigan Mathematical Journal, 1976 Kent, D. C., Richardson, G. D.
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Chebychev Approximation in Locally Compact Spaces [PDF]
Proceedings of the American Mathematical Society, 1958 Moreover, this p is unique, and is characterized by this property. In this paper we shall give a generalization of this result (except for uniqueness, which does not hold) on a locally compact space X. Let B = CiX) be the Banach space of all continuous real functions on X, vanishing at infinity, with ||/||=max {|/(x)| : xQX}.
Joseph Bram
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Homology theory for locally compact spaces. [PDF]
Michigan Mathematical Journal, 1960 Borel, A., Moore, J. C.
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When is an ultracomplete space almost locally compact?
Applied General Topology, 2006 We study spaces X which have a countable outer base in βX; they are called ultracomplete in the most recent terminology. Ultracompleteness implies Cech-completeness and is implied by almost local compactness (≡having all points of non-local compactness ...
Daniel Jardón Arcos +1 more
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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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Locally compact convergence groups and n-transitive actions [PDF]
, 2012 All sigma-compact, locally compact groups acting sharply n-transitively and continuously on compact spaces M have been classified, except for n=2,3 when M is infinite and disconnected. We show that no such actions exist for n=2 and that these actions for
Carette, Mathieu, Dreesen, Dennis
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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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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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Non-positive curvature and the Ptolemy inequality [PDF]
, 2007 We provide examples of non-locally compact geodesic Ptolemy metric spaces which are not uniquely geodesic. On the other hand, we show that locally compact, geodesic Ptolemy metric spaces are uniquely geodesic.
A. Lytchak +3 more
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