Every compact metric space that supports a positively expansive homeomorphism is finite

VOL. 48 | 2006 Every compact metric space that supports a positively expansive homeomorphism is finite

Ethan M. Coven, Michael Keane

Editor(s) Dee Denteneer, Frank den Hollander, Evgeny Verbitskiy

IMS Lecture Notes Monogr. Ser., 2006: 304-305 (2006) DOI: 10.1214/074921706000000310

Abstract

We give a simple proof of the title.

Published: 1 January 2006

First available in Project Euclid: 28 November 2007

MathSciNet: MR2306210

Digital Object Identifier: 10.1214/074921706000000310

Subjects:

Primary: ‎37B05‎

Secondary: 37B25

Keywords: expansive homeomorphisms , topological dynamics

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Vol. 48 • 1 January 2006

Institute of Mathematical Statistics