Existence of Continuous Functions That Are One-to-One Almost Everywhere
Keyword(s):
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.
1978 ◽
Vol 1
(1)
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pp. 69-73
Keyword(s):
Keyword(s):
1963 ◽
Vol 13
(4)
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pp. 295-296
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Keyword(s):
2021 ◽
Vol 7
(1)
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pp. 88-99
1964 ◽
Vol 60
(2)
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pp. 205-207
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2021 ◽
Vol 27
(3)
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pp. 449-460
1975 ◽
Vol 17
(5)
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pp. 675-677
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