%0 Journal Article
%T Existence of continuous functions that are one-to-one almost everywhere
%A Alexander J. Izzo
%J Mathematics
%D 2015
%I arXiv
%X It is shown that given a metric space $X$ and a $\sigma$-finite positive regular Borel measure $\mu$ on $X$, there exists a bounded continuous real-valued function on $X$ that is one-to-one on the complement of a set of $\mu$ measure zero.
%U http://arxiv.org/abs/1508.03778v1