Monotonically countably paracompact, collectionwise Hausdorff spaces and measurable cardinals

Good, Chris; Knight, Robin

doi:10.1090/S0002-9939-05-07965-7

Monotonically countably paracompact, collectionwise Hausdorff spaces and measurable cardinals
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by Chris Good and Robin W. Knight PDF

Proc. Amer. Math. Soc. 134 (2006), 591-597 Request permission

Abstract:

We show that, if an MCP (monotonically countably paracompact) space fails to be collectionwise Hausdorff, then there is a measurable cardinal and that, if there are two measurable cardinals, then there is an MCP space that fails to be collectionwise Hausdorff.

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