Positively expansive homeomorphisms of compact spaces

We give a new and elementary proof showing that a homeomorphism f:X→X of a compact metric space is positively expansive if and only if X is finite.

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Bibliographic Details
Main Authors: David Richeson, Jim Wiseman
Format: Article
Language:English
Published: Wiley 2004-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171204312184
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Description
Summary:We give a new and elementary proof showing that a homeomorphism f:X→X of a compact metric space is positively expansive if and only if X is finite.
ISSN:0161-1712
1687-0425