Countable compactness, hereditary \(\pi\)-character, and the continuum hypothesis

DOI10.1016/j.topol.2006.03.021zbMath1101.03033OpenAlexW2019590741MaRDI QIDQ860492

Todd Eisworth

Publication date: 9 January 2007

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2006.03.021

zbMATH Keywords

forcingS-spacefree sequencecompact spacecountably tight\(\pi\)-characterContinuum Hypothesis

Mathematics Subject Classification ID

Compactness (54D30) Consistency and independence results (03E35) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Continuum hypothesis and Martin's axiom (03E50) Consistency and independence results in general topology (54A35)

Related Items (5)

On the cardinality of separable pseudoradial spaces ⋮ CH and the Moore-Mrowka problem ⋮ Countable \(\pi\)-character, countable compactness and PFA ⋮ One-dimensional locally connected S-spaces ⋮ DOMINATION CONDITIONS UNDER WHICH A COMPACT SPACE IS METRISABLE

Cites Work

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• On spaces in which countably compact sets are closed, and hereditary properties
• CH and first countable, countably compact spaces
• A separable normal topological group need not be Lindelöf
• On Countably Compact, Perfectly Normal Spaces
• CH with no Ostaszewski spaces
• More reflections on compactness
• Totally proper forcing and the Moore–Mrówka problem
• First countable, countably compact spaces and the continuum hypothesis

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