Ranks on the Baire class $\xi $ functions

DOI10.1090/tran/6764zbMath1391.03037arXiv1406.5724OpenAlexW3104689550MaRDI QIDQ2821684

Viktor Kiss, Márton Elekes, Zoltán Vidnyánszky

Publication date: 22 September 2016

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

Full work available at URL: https://arxiv.org/abs/1406.5724

zbMATH Keywords

descriptive set theoryordinal ranksBaire class \(\xi\) functions

Mathematics Subject Classification ID

Descriptive set theory (03E15) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (7)

Three topological reducibilities for discontinuous functions ⋮ Topological reducibilities for discontinuous functions and their structures ⋮ Embeddability on functions: Order and chaos ⋮ Characterization of order types of pointwise linearly ordered families of Baire class 1 functions ⋮ On ordinal ranks of Baire class functions ⋮ Equi-Baire 1 families of functions ⋮ The solvability cardinal of the class of polynomials

Cites Work

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• A cardinal number connected to the solvability of systems of difference equations in a given function class
• A Classification of Baire Class 1 Functions
• Operators commuting with translations, and systems of difference equations

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