%0 Journal Article
%T Locally Contractive Maps on Perfect Polish Ultrametric Spaces
%A Francis George
%J Mathematics
%D 2015
%I arXiv
%X In this paper we present a result concerning locally contractive maps defined on subsets of perfect Polish ultrametric spaces (i.e. separable complete ultrametric spaces). Specifically, we show that a perfect compact ultrametric space cannot be contained in its locally contractive image, a corollary relating this result to minimal dynamical systems, and pose a conjecture for the general Polish ultrametric case.
%U http://arxiv.org/abs/1502.03538v2