Every compact metric space that supports a positively expansive homeomorphism is finite
arXiv:math/0608257 · doi:10.1214/074921706000000310
Abstract
We give a simple proof of the title.
Published at http://dx.doi.org/10.1214/074921706000000310 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)