Loops of intervals and Darboux Baire 1 fixed point problem

DOI10.14321/realanalexch.29.1.0205zbMath1065.26004OpenAlexW1555417043MaRDI QIDQ1766436

Piotr Szuca

Publication date: 7 March 2005

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14321/realanalexch.29.1.0205

zbMATH Keywords

fixed-pointderivativesconnectivity functionsDarboux functionscompositionBorel measurable functionsBaire 1 functions\(f\)-coverloop of intervals

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Iteration of real functions in one variable (26A18) Dynamical systems involving maps of the interval (37E05) Real-valued functions in general topology (54C30) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (3)

Differentiability versus continuity: Restriction and extension theorems and monstrous examples ⋮ On the sets of fixed points of bounded Baire one functions ⋮ On dynamics of families of equi-Baire one functions on metric spaces

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