Extending Baire-one functions on topological spaces

DOI10.1016/j.topol.2004.09.007zbMath1075.54011OpenAlexW2038294302MaRDI QIDQ1779237

Jiří Spurný, Ondřej F. K. Kalenda

Publication date: 1 June 2005

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2004.09.007

zbMATH Keywords

extensionBaire-one functioncompact convex set.Lindelöf (hereditarily BaireMichael) space

Mathematics Subject Classification ID

Extension of maps (54C20) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Real-valued functions in general topology (54C30)

Related Items (14)

A solution of the abstract Dirichlet problem for Baire-one functions ⋮ Linear extensions of Baire-alpha functions ⋮ Baire classes of affine vector-valued functions ⋮ Extending Baire-one functions on compact spaces ⋮ Linear extensions of some Baire-one functions ⋮ Extensions of functions with a closed graph and quasi-continuous functions with a closed graph from dense subspaces ⋮ Extensions of semicontinuous and quasi-continuous functions from dense subspaces ⋮ Separating sets by Darboux Baire 1 and approximately continuous functions ⋮ The Dirichlet problem on compact convex sets ⋮ Extension of Borel maps with values in non-metrizable spaces ⋮ Extension of fragmented Baire-one functions on Lindelöf spaces ⋮ \(P\)-spaces and an unconditional closed graph theorem ⋮ EXTENSION OF CONTINUOUS MAPPINGS AND H₁-RETRACTS ⋮ On C-embedded subspaces of the Sorgenfrey plane

Cites Work

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• Fine topology methods in real analysis and potential theory
• Lindelöf modifications and K ‐analytic spaces
• Sur les convexes compacts dont l'ensemble des points extrémaux est $\cal K$-analytique
• Borel isomorphisms at the first level: Corrigenda et addenda
• CHOQUET SIMPLICES WITH PRESCRIBED EXTREME AND ŠILOV BOUNDARIES
• Some of the combinatorics related to Michael’s problem
• Affine Baire-one functions on Choquet simplexes

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