Results 21 to 30 of about 994,296 (276)
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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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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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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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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On some problems of instability in semi-dynamical systems
Журнал Белорусского государственного университета: Математика, информатика, 2021 The problem of instability of a closed positively invariant set M of a semi-dynamical system on an arbitrary metric space X is considered. The Lyapunov’s direct method for such problems has been developed quite completely in the case when M is compact ...
Boris S. Kalitine
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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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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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, 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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