C(X) determines X - a unified theory

DOI10.4995/AGT.2023.17569arXiv2204.08833OpenAlexW4362608349MaRDI QIDQ6182510

Biswajit Mitra, Unnamed Author

Publication date: 21 December 2023

Published in: Applied General Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.08833

zbMATH Keywords

realcompactstructure spacereal maximal idealnearly realcompact\(\mathcal{P}\)-compact space\(\mathcal{P}\)-maximal ideal\(SRM\) ideal

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Realcompactness and realcompactification (54D60) Real-valued functions in general topology (54C30)

Cites Work

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• Prime and maximal ideals in subrings of C(X)
• On nearly pseudocompact spaces
• Nearly realcompact spaces
• Some multiple summing operators defined by the determinant of a matrix
• Maximal Ideals in Subalgebras of C(X)
• On hard sets
• Rings of Real-Valued Continuous Functions. I

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