A New Approach to the Katětov–Tong Theorem

DOI10.1080/00029890.2022.1993723zbMath1491.54021arXiv2001.08800OpenAlexW3080567487MaRDI QIDQ5020270

Patrick J. Morandi, Guram Bezhanishvili, Bruce Olberding

Publication date: 5 January 2022

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.08800

zbMATH Keywords

continuous functionlower semicontinuous functionupper semicontinuous functionStone-Weierstrass theoremcompact spacenormal spaceKatětov-Tong theorem

Mathematics Subject Classification ID

Compactness (54D30) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Real-valued functions in general topology (54C30)

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