A zero-dimensional not strongly zero-dimensional \(X\) with Lindelöf \(C_p(X)\)

DOI10.1007/S40879-019-00386-9zbMath1437.54014OpenAlexW2990428948MaRDI QIDQ1987689

Alfredo Sánchez Jiménez, Oleg G. Okunev

Publication date: 15 April 2020

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

Full work available at URL: https://doi.org/10.1007/s40879-019-00386-9

zbMATH Keywords

topology of pointwise convergenceLindelöf spaceszero-dimensional spacesstrongly zero-dimensional spaces

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Counterexamples in general topology (54G20)

Cites Work

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• The Lindelöf number of \(C_{p}(X) \times C_{p}(X)\) for strongly zero-dimensional \(X\)
• On function spaces of compact subspaces of Σ-products of the real line
• Lindelöf powers and products of function spaces

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