First countable, countably compact spaces and the continuum hypothesis

DOI10.1090/S0002-9947-05-04034-1zbMath1081.03050OpenAlexW1601156083MaRDI QIDQ5461386

Todd Eisworth, Peter J. Nyikos

Publication date: 26 July 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-05-04034-1

zbMATH Keywords

iterationcompactnesscontinuum hypothesisproper forcingpre-images of \(\omega_1\)

Mathematics Subject Classification ID

Compactness (54D30) Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Consistency and independence results in general topology (54A35)

Related Items (12)

Countable compactness, hereditary \(\pi\)-character, and the continuum hypothesis ⋮ Forcing axioms and the continuum hypothesis ⋮ Forcing axioms and the continuum hypothesis. II: Transcending \(\omega _1\)-sequences of real numbers ⋮ Weak normality forms outside a diagonal ⋮ CH and the Moore-Mrowka problem ⋮ On the character of weakly normal off of the diagonal, countably compact spaces ⋮ SH plus CH does not imply stationary antichains. ⋮ Unnamed Item ⋮ Pseudoradial spaces and copies of \(\omega_1 + 1\) ⋮ Antidiamond principles and topological applications ⋮ On perfect pre-images of \(\omega _{1}\) ⋮ Spaces having a small diagonal

Cites Work

• Perfect pre-images of \(\omega _ 1\) and the PFA
• Spaces having a small diagonal
• CH and first countable, countably compact spaces
• On perfect pre-images of \(\omega _{1}\)
• More set-theory for topologists
• Countable tightness and proper forcing
• On Compact Hausdorff Spaces of Countable Tightness
• CH with no Ostaszewski spaces
• Totally proper forcing and the Moore–Mrówka problem
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