@article{Izzo_2016, title={Existence of Continuous Functions That Are One-to-One Almost Everywhere}, volume={118}, url={https://www.mscand.dk/article/view/23688}, DOI={10.7146/math.scand.a-23688}, abstractNote={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. }, number={2}, journal={MATHEMATICA SCANDINAVICA}, author={Izzo, Alexander J.}, year={2016}, month={Jun.}, pages={269–276} }