On the Compactness and Countable Compactness of 2Rin ZF

DOI10.4064/ba55-4-1zbMath1134.03027OpenAlexW2076754585MaRDI QIDQ5440171

Evangelos Felouzis, Kyriakos Keremedis, Eleftherios Tachtsis

Publication date: 1 February 2008

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ba55-4-1

zbMATH Keywords

axiom of choicecompact spacesLindelöf spacesTychonoff productscountably compact spacesTikhonov productsmaximal clopen (open, closed, regular open) filters.

Mathematics Subject Classification ID

Compactness (54D30) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Product spaces in general topology (54B10) Consistency and independence results in general topology (54A35) Axiom of choice and related propositions (03E25)

Related Items (2)

On the Existence of Free Ultrafilters on ω and on Russell-sets in ZF ⋮ The existence of free ultrafilters on ω does not imply the extension of filters on ω to ultrafilters

This page was built for publication: On the Compactness and Countable Compactness of 2^Rin ZF