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Paracompactness in perfectly normal, locally connected, locally compact spaces


Author: Diane J. Lane
Journal: Proc. Amer. Math. Soc. 80 (1980), 693-696
MSC: Primary 54D18; Secondary 03E50
DOI: https://doi.org/10.1090/S0002-9939-1980-0587957-0
MathSciNet review: 587957
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Abstract: It is shown that, under $ ({\text{MA}} + \neg {\text{CH}})$, every perfectly normal, locally compact and locally connected space is paracompact.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1980-0587957-0
Keywords: Martin's Axiom, subparacompact, paracompact, perfectly normal, locally compact, locally connected, hereditarily separable, hereditarily Lindelöf, continuum hypothesis, manifold
Article copyright: © Copyright 1980 American Mathematical Society