Every Exactly 2-to-1 Function on the Reals Has an Infinite Set of Discontinuities

DOI10.2307/2045714zbMath0598.54004OpenAlexW4235172277MaRDI QIDQ3732528

Jo W. Heath

Publication date: 1986

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2045714

zbMATH Keywords

2-to-1 functionset of discontinuities

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15)

Related Items (4)

Continuous \(k\)-to-\(1\) functions between complete graphs of even order ⋮ Covering maps that are not compositions of covering maps of lesser order ⋮ The weight of certain images of \(\omega^{*}\) ⋮ Wiggles and Finitely Discontinuousk-to-1 Functions Between Graphs

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