Continuous functions in rings generated by a single Darboux function

DOI10.14321/realanalexch.46.1.0083zbMath1483.26004OpenAlexW4293509736MaRDI QIDQ2054550

Paweł Barbarski

Publication date: 3 December 2021

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

Full work available at URL: https://projecteuclid.org/journals/real-analysis-exchange/volume-46/issue-1/Continuous-functions-in-rings-generated-by-a-single-Darboux-function/10.14321/realanalexch.46.1.0083.full

zbMATH Keywords

Darboux functioncontinuous functionStone-Weierstrass theorempolynomially bounded functionring of functionsfamily of functions separating elements of partitionring generated by function

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Cites Work

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• The Sharkovskiĭ Theorem for spaces of measurable functions
• First-return limiting notions and rings of Sharkovsky functions
• Full analogy of Sharkovsky's theorem for lower semicontinuous maps
• Randomized Sharkovsky-type results and random subharmonic solutions of differential inclusions
• On rings of Darboux functions
• On Sharkovsky's cycle coexistence ordering
• On compositions and products of almost continuous functions
• Sums and limits of almost continuous functions
• On the Sum of Darboux Functions
• COEXISTENCE OF CYCLES OF A CONTINUOUS MAP OF THE LINE INTO ITSELF
• Sharkovskiĭ's theorem holds for some discontinuous functions
• Randomization of Sharkovskii-type theorems

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