Ascoli's theorem for pseudocompact spaces

DOI10.1007/s13398-020-00911-6zbMath1456.54006arXiv2004.03911OpenAlexW3044891236MaRDI QIDQ2006810

Saak S. Gabriyelyan

Publication date: 12 October 2020

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.03911

zbMATH Keywords

pseudocompact\(C_k(X)\)compact-covering mapAscoliselectively \(\omega\)-boundedsequentially Ascoli

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Compactness (54D30) Topological spaces and generalizations (closure spaces, etc.) (54A05) Subspaces in general topology (54B05)

Related Items (4)

Properties of the weak and weak\(^\ast\) topologies of function spaces ⋮ Local completeness of \(C_k(X)\) ⋮ A Banach space characterization of (sequentially) Ascoli spaces ⋮ On weakly compact sets in \(C\left( X\right) \)

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