Normality Versus Paracompactness in Locally Compact Spaces

DOI10.4153/CJM-2017-006-xzbMath1394.54003arXiv1607.04364MaRDI QIDQ4609541

Alan Dow, Franklin D. Tall

Publication date: 4 April 2018

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.04364

zbMATH Keywords

locally compactparacompactnormalmoving off propertycountably tightPFA(S)[S]collectionwise HausdorffAxiom RMartin's maximumforcing with a coherent Souslin tree

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Consistency and independence results (03E35) Large cardinals (03E55) Continuum hypothesis and Martin's axiom (03E50) Consistency and independence results in general topology (54A35) Local compactness, (sigma)-compactness (54D45) Generic absoluteness and forcing axioms (03E57)

Related Items (5)

Some observations on the Baireness of \(C_{k}(X)\) for a locally compact space \(X\) ⋮ \(\mathrm{PFA}(S)[S\) and countably compact spaces] ⋮ \(\text{PFA}(S)[S\) for the masses] ⋮ Locally compact, \( \omega_1\)-compact spaces ⋮ A variant of Shelah's characterization of Strong Chang's Conjecture

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