Institute of Mathematical Statistics Lecture Notes - Monograph Series

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

Ethan M. Coven, Michael Keane

Source: Dee Denteneer, Frank den Hollander, Evgeny Verbitskiy, eds., Dynamics & Stochastics: Festschrift in honor of M. S. Keane (Beachwood, Ohio, USA: Institute of Mathematical Statistics, 2006), 304-305.

Abstract

We give a simple proof of the title.

Primary Subjects: 37B05
Secondary Subjects: 37B25
Keywords: topological dynamics; expansive homeomorphisms

Full-text: Open access

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.lnms/1196285830
Mathematical Reviews (MathSciNet): MR2306210

Digital Object Identifier: doi:10.1214/074921706000000310

2009 © Institute of Mathematical Statistics

Institute of Mathematical Statistics Lecture Notes - Monograph Series

Institute of Mathematical Statistics Lecture Notes - Monograph Series