A generalization of functions of the first class

DOI10.1016/0166-8641(93)90022-6zbMath0788.54036OpenAlexW2058329217WikidataQ127740778 ScholiaQ127740778MaRDI QIDQ690252

George Koumoullis

Publication date: 16 January 1994

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

Full work available at URL: https://doi.org/10.1016/0166-8641(93)90022-6

zbMATH Keywords

\(t\)-Baire space

Mathematics Subject Classification ID

Baire category, Baire spaces (54E52) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Spaces of measures, convergence of measures (28A33) 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 (19)

Internal descriptions of absolute Borel classes ⋮ Extending Baire-one functions on compact spaces ⋮ \(\Gamma\)-flatness and Bishop-Phelps-Bollobás type theorems for operators ⋮ Perfect images of absolute Souslin and absolute Borel Tychonoff spaces ⋮ Distances to spaces of first resolvable class mappings ⋮ Borel sets and functions in topological spaces ⋮ Descriptive properties of vector-valued affine functions ⋮ An Amir-Cambern theorem for subspaces of Banach lattice-valued continuous functions ⋮ A weak vector-valued Banach-stone theorem for Choquet simplices ⋮ A generalization of a Baire theorem concerning barely continuous functions ⋮ Extension of Borel maps with values in non-metrizable spaces ⋮ SMALL-BOUND ISOMORPHISMS OF FUNCTION SPACES ⋮ Baire classification of fragmented maps and approximation of separately continuous functions ⋮ The minimum principle for affine functions and isomorphisms of continuous affine function spaces ⋮ On composition of Baire functions ⋮ On fragmented convex functions ⋮ Generalized first class selectors for upper semi-continuous set-valued maps in Banach spaces ⋮ Isomorphisms of subspaces of vector-valued continuous functions ⋮ Isomorphisms of spaces of affine continuous complex functions

Cites Work

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• Topology and measure
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• The Ramsey Property and Measurable Selections
• Hereditarily-Additive Families in Descriptive Set Theory and Borel Measurable Multimaps
• Internal characterization of fragmentable spaces
• Radon‐Nikodým compact spaces and fragmentability
• Almost every function is independent
• Applications of the Baire-category method to the problem of independent sets
• Topological Properties of Banach Spaces
• Jeux Topologiques et Espaces de Namioka
• Internal cohen extensions
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)

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