\(\mathrm{PFA}(S)[S]\) and countably compact spaces

DOI10.1016/j.topol.2017.08.021zbMath1380.54004arXiv1607.04368OpenAlexW2516694310MaRDI QIDQ2405088

Franklin D. Tall, Alan Dow

Publication date: 21 September 2017

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

Full work available at URL: https://arxiv.org/abs/1607.04368

zbMATH Keywords

locally compactcountably compactparacompactnormalfree sequence\(\mathrm{PFA}(S)[S\)]countably tightsequentially compactcoherent Souslin treeperfect pre-image of \(\omega_1\)

Mathematics Subject Classification ID

Compactness (54D30) Sequential spaces (54D55) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Consistency and independence results (03E35) Large cardinals (03E55) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Applications of set theory (03E75) Consistency and independence results in general topology (54A35) Local compactness, (sigma)-compactness (54D45) Other set-theoretic hypotheses and axioms (03E65)

Related Items (2)

\(\text{PFA}(S)[S\) for the masses] ⋮ PFA(S) and countable tightness

Cites Work

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