Point-Wise Compact Subsets of the First Baire Class

DOI10.2307/2373824zbMath0392.54009OpenAlexW2327567367MaRDI QIDQ4173946

Publication date: 1977

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

Full work available at URL: https://semanticscholar.org/paper/948b84a7202e87f5685b7abfc29e83a5bf484af5

zbMATH Keywords

first Baire class real-valued function point-wise convergence Baire characterization theorem complete separable metrizable topological space point- wise compact subsets separable banach space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Classical Banach spaces in the general theory (46B25) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Topology of special sets defined by functions (54C50)

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