International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 53-56, Pages 2907-2910
doi:10.1155/S0161171204312184
Positively expansive homeomorphisms of compact spaces
David Richeson1
and Jim Wiseman2
1Department of Mathematics and Computer Science, Dickinson College, Carlisle 17013, PA, USA
2Department of Mathematics and Statistics, Swarthmore College, Swarthmore 19081, PA, USA
Abstract
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.