Preserving affine baire classes by perfect affine maps

DOI10.2989/16073606.2015.1073813zbMath1423.46011arXiv1501.05118OpenAlexW3102323168MaRDI QIDQ5233925

Jiří Spurný, Ondřej F. K. Kalenda

Publication date: 9 September 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.05118

zbMATH Keywords

strongly affine functionvector-valued Baire function

Mathematics Subject Classification ID

Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Convex sets in topological linear spaces; Choquet theory (46A55) Classification of real functions; Baire classification of sets and functions (26A21)

Cites Work

• Unnamed Item
• Baire classes of strongly affine functions on simplices and on \(C^\ast\)-algebras
• Borel sets and functions in topological spaces
• Complementation in spaces of continuous functions on compact lines
• Perfect images of absolute Souslin and absolute Borel Tychonoff spaces
• Integral representation theory. Applications to convexity, Banach spaces and potential theory
• Baire classes of affine vector-valued functions
• A new type of affine Borel function.
• A measurable map with analytic domain and metrizable range is quotient

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