The group of isometries of a locally compact metric space with one end

Manoussos A (2010)
TOPOLOGY AND ITS APPLICATIONS 157(18): 2876-2879.

Journal Article | Published | English

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Abstract
In this note we study the dynamics of the natural evaluation action of the group of isometries G of a locally compact metric space (X, d) with one end. Using the notion of pseudo-components introduced by S. Gao and A.S. Kechris we show that X has only finitely many pseudo-components exactly one of which is not compact and G acts properly on this pseudo-component. The complement of the non-compact component is a compact subset of X and G may fail to act properly on it. (C) 2010 Elsevier B.V. All rights reserved.
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Manoussos A. The group of isometries of a locally compact metric space with one end. TOPOLOGY AND ITS APPLICATIONS. 2010;157(18):2876-2879.
Manoussos, A. (2010). The group of isometries of a locally compact metric space with one end. TOPOLOGY AND ITS APPLICATIONS, 157(18), 2876-2879.
Manoussos, A. (2010). The group of isometries of a locally compact metric space with one end. TOPOLOGY AND ITS APPLICATIONS 157, 2876-2879.
Manoussos, A., 2010. The group of isometries of a locally compact metric space with one end. TOPOLOGY AND ITS APPLICATIONS, 157(18), p 2876-2879.
A. Manoussos, “The group of isometries of a locally compact metric space with one end”, TOPOLOGY AND ITS APPLICATIONS, vol. 157, 2010, pp. 2876-2879.
Manoussos, A.: The group of isometries of a locally compact metric space with one end. TOPOLOGY AND ITS APPLICATIONS. 157, 2876-2879 (2010).
Manoussos, Antonios. “The group of isometries of a locally compact metric space with one end”. TOPOLOGY AND ITS APPLICATIONS 157.18 (2010): 2876-2879.
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