Locally compact normal meta-Lindelöf spaces may not be paracompact: an application of uniformization and Suslin lines

Watson, Stephen

doi:10.1090/S0002-9939-1986-0861774-1

Locally compact normal meta-Lindelöf spaces may not be paracompact: an application of uniformization and Suslin lines
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Proc. Amer. Math. Soc. 98 (1986), 676-680 Request permission

Abstract:

We show that it is consistent with and independent of the continuum hypothesis (and its negation) that there is a locally compact (perfectly) normal metalindelöf space which is not paracompact. The constructions replace each point in an $\omega$-uniformizable family with a Suslin line.

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