On the Set-Theoretic Strength of Countable Compactness of the Tychonoff Product 2R

DOI10.4064/ba58-2-1zbMath1242.03073OpenAlexW2055626560MaRDI QIDQ3066670

Eleftherios Tachtsis

Publication date: 11 January 2011

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/ba58-2-1

zbMATH Keywords

countable compactnesscompactnessultrafilteraxiom of choiceTychonoff productsnon-Lebesgue measurable setweaker forms of AC

Mathematics Subject Classification ID

Compactness (54D30) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Product spaces in general topology (54B10) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80) Axiom of choice and related propositions (03E25)

Related Items (5)

On the Existence of Free Ultrafilters on ω and on Russell-sets in ZF ⋮ On extensions of countable filterbases to ultrafilters and ultrafilter compactness ⋮ On ultracompact spaces in ZF ⋮ Denumerable cellular families in \(\mathbf{ZF}\) ⋮ 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 Set-Theoretic Strength of Countable Compactness of the Tychonoff Product 2^R