Sets of range uniqueness for classes of continuous functions

DOI10.1090/S0002-9939-99-04905-9zbMath0939.26003OpenAlexW1540366795MaRDI QIDQ4257662

Maxim R. Burke, Krzysztof Chris Ciesielski

Publication date: 31 August 1999

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-04905-9

zbMATH Keywords

differentiable functionscontinuous functionsabsolutely continuous functionsperfect Polish spaceset of range uniquenessseparable Baire topological spaceset of preimage uniqueness.

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Entire functions of one complex variable (general theory) (30D20) Axiomatics of classical set theory and its fragments (03E30) Real-valued functions in general topology (54C30) Absolutely continuous real functions in one variable (26A46)

Related Items (4)

Sets and multisets of range uniqueness for polynomials ⋮ Between continuous and uniformly continuous functions on \(\mathbb{R}^n\) ⋮ Functions with distant fibers and uniform continuity ⋮ Uniform quasi components, thin spaces and compact separation

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