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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Every exactly $ 2$-to-$ 1$ function on the reals has an infinite set of discontinuities


Author: Jo Heath
Journal: Proc. Amer. Math. Soc. 98 (1986), 369-373
MSC: Primary 54C10; Secondary 26A15
DOI: https://doi.org/10.1090/S0002-9939-1986-0854049-8
MathSciNet review: 854049
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Abstract: It has long been known that the set of discontinuities of a $ 2$-to-$ 1$ function on either the closed or the open interval must be nonempty; this paper proves that the set must be infinite.


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DOI: https://doi.org/10.1090/S0002-9939-1986-0854049-8
Article copyright: © Copyright 1986 American Mathematical Society