Functional countability is preserved by some products

DOI10.1007/s10474-022-01258-7OpenAlexW4294954964MaRDI QIDQ2095135

Vladimir V. Tkachuk

Publication date: 9 November 2022

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-022-01258-7

zbMATH Keywords

sequential spaceproductscattered spacecompact spacecountably compact space\(P\)-spaceCorson compact spacefunctionally countable spaceweakly Lindelöf space

Mathematics Subject Classification ID

Product spaces in general topology (54B10) Scattered spaces (54G12) (P)-spaces (54G10) Separability of topological spaces (54D65)

Cites Work

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• Lindelöf \(\Sigma\)-spaces: an omnipresent class
• Continuous Functions on Compact Spaces Without Perfect Subsets
• Stone-Cech Compactifications of Products
• Spaces of continuous functions (III) (Spaces C(Ω) for Ω without perfect subsets)
• A note on the pseudo-compactness of the product of two spaces
• A nice subclass of functionally countable spaces
• Some applications of exponentially separable spaces
• A solution to the L space problem
• Exponential separability is preserved by some products

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