Spaces of Baire functions. I

DOI10.5802/aif.531zbMath0287.46031OpenAlexW2328811329MaRDI QIDQ1846214

J. E. Jayne

Publication date: 1974

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1974__24_4_47_0

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Fairly general properties of topological spaces (54D99) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (12)

Topological properties of some function spaces ⋮ Baire functions, Borel sets, and ordinary function systems ⋮ The Sequential Stability Index and Certain Spaces of Affine Functions ⋮ The space of class $\alpha$ Baire functions ⋮ On generalization of theorems of Pestryakov ⋮ Vector valued Baire functions ⋮ Generation of σ‐algebras, Baire sets and descriptive Borel sets ⋮ On spaces of Baire functions over nonarchimedean valued fields ⋮ Some observations on \(C_p\)-theory and bibliography ⋮ A criterion for the metrizability of a compact convex set in terms of the set of extreme points ⋮ Special issue on \(C_p(X)\)-theory ⋮ Functions of Baire class one over a Bishop topology

Cites Work

• Ensembles \(K\)-analytiques et \(K\)-souliniens. Cas général et cas métrique
• The Baire order problem for compact spaces
• On topologies and boundaries in potential theory. Enlarged ed. of a course of lectures delivered in 1966
• Characterizations and metrization of proper analytic spaces
• Continuous Functions on Compact Spaces Without Perfect Subsets
• Spaces of continuous functions (III) (Spaces C(Ω) for Ω without perfect subsets)
• L'intégration dans les espaces généraux
• The sequential stability index of a function space
• On closed mappings
• Descriptive Borel sets
• A remark on the weak-star topology of $l^{∞}$
• A survey of separable descriptive theory of sets and spaces
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