ON BOREL SETS IN FUNCTION SPACES WITH THE WEAK TOPOLOGY

DOI10.1112/S0024610703004812zbMath1081.46014OpenAlexW2133158979MaRDI QIDQ4819579

Roman Pol, Dennis K. Burke

Publication date: 27 September 2004

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

Full work available at URL: https://doi.org/10.1112/s0024610703004812

zbMATH Keywords

F-spaceBorel measurable mapnorm and weak topologies

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Geometry and structure of normed linear spaces (46B20) Nonseparable Banach spaces (46B26) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

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Luzin measurability of Carathéodory type mappings ⋮ Measurability in \(C(2^\kappa)\) and Kunen cardinals ⋮ Borel measurability of separately continuous functions. II. ⋮ On Borel structures in the Banach space \(C({\beta}{\omega})\) ⋮ On some problems concerning Borel structures in function spaces ⋮ On Banach spaces whose norm-open sets are \(F_\sigma \)-sets in the weak topology ⋮ ON A PROBLEM OF TALAGRAND CONCERNING SEPARATELY CONTINUOUS FUNCTIONS ⋮ Open problems in Banach spaces and measure theory ⋮ Note on separate continuity and the Namioka property

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