Existence of Continuous Functions That Are One-to-One Almost Everywhere
DOI:
https://doi.org/10.7146/math.scand.a-23688Abstract
It is shown that given a metric space X and a σ-finite positive regular Borel measure μ on X, there exists a bounded continuous real-valued function on X that is one-to-one on the complement of a set of μ measure zero.Downloads
Published
2016-06-09
How to Cite
Izzo, A. J. (2016). Existence of Continuous Functions That Are One-to-One Almost Everywhere. MATHEMATICA SCANDINAVICA, 118(2), 269–276. https://doi.org/10.7146/math.scand.a-23688
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