Results 1 to 10 of about 1,198,947 (283)
A note on Gromov-Hausdorff-Prokhorov distance between (locally) compact measure spaces [PDF]
Electronic Journal of Probability 18 (2013) 14, 2012 We present an extension of the Gromov-Hausdorff metric on the set of compact metric spaces: the Gromov-Hausdorff-Prokhorov metric on the set of compact metric spaces endowed with a finite measure. We then extend it to the non-compact case by describing a
Abraham, Romain +2 more
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Locally compact space and continuity
BIBECHANA, 1970 Topological spaces for being T0, T1, T2 and regular space have been discussed. The conditions for a topological space to be locally compact have also been studied. We have found that a continuous function preserves locally compactness. Keywords: Topological spaces; Compactness; Regular space DOI: 10.3126/bibechana.v7i0.4038BIBECHANA 7 (2011) 18 ...
Shitanshu Shekhar Choudhary +1 more
doaj +7 more sources
On T-locally compact spaces [PDF]
, 2022 The aim of this paper is to introduce and give preliminary investigation of T-locally compact spaces. Locally compact and T-locally compact are independent of each other. Every Hausdorff, locally compact space is T-locally compact. T-locally compact is a topological property. T-locally compact is not preserved by the product topology.
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Quantum locally compact metric spaces [PDF]
Journal of Functional Analysis, 2013 We introduce the notion of a quantum locally compact metric space, which is the noncommutative analogue of a locally compact metric space, and generalize to the nonunital setting the notion of quantum metric spaces introduced by Rieffel. We then provide several examples of such structures, including the Moyal plane, as well as compact quantum metric ...
Akemann +35 more
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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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Canonical Structure of Locally Homogeneous Systems on Compact Closed 3-Manifolds of Types $E^3$, Nil and Sol [PDF]
, 1997 In this paper we investigate the canonical structure of diffeomorphism invariant phase spaces for spatially locally homogeneous spacetimes with 3-dimensional compact closed spaces.
H. Kodama, Scott
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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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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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Universal properties of group actions on locally compact spaces [PDF]
, 2014 We study universal properties of locally compact G-spaces for countable infinite groups G. In particular we consider open invariant subsets of the \beta-compactification of G (which is a G-space in a natural way), and their minimal closed invariant ...
Matui, Hiroki, Rordam, Mikael
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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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