A natural topology for upper semicontinuous functions and a Baire category dual for convergence in measure

DOI10.2140/pjm.1981.96.251zbMath0466.54009OpenAlexW2045903648MaRDI QIDQ1155265

Gerald A. Beer

Publication date: 1981

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1981.96.251

zbMATH Keywords

convergence in measureintegral convergence theoremsspace of upper semicontinuous functions on a compact metric space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Baire category, Baire spaces (54E52) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

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Cone Lattices of Upper Semicontinuous Functions ⋮ Differential equations with fuzzy parameters via differential inclusions

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