On compact Hausdorff spaces of countable tightness

Balogh, Zoltán T.

doi:10.1090/S0002-9939-1989-0930252-6

On compact Hausdorff spaces of countable tightness
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Proc. Amer. Math. Soc. 105 (1989), 755-764 Request permission

Abstract:

A general combinatorial theorem for countably compact, noncompact spaces is given under the Proper Forcing Axiom. It follows that compact Hausdorff spaces of countable tightness are sequential under PFA, solving the Moore-Mrowka Problem. Other applications are also given.

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