TY - JOUR
AU - Izzo, Alexander J.
PY - 2016/06/09
Y2 - 2022/01/17
TI - Existence of Continuous Functions That Are One-to-One Almost Everywhere
JF - MATHEMATICA SCANDINAVICA
JA - Math. Scand.
VL - 118
IS - 2
SE - Articles
DO - 10.7146/math.scand.a-23688
UR - https://www.mscand.dk/article/view/23688
SP - 269-276
AB - 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.
ER -