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On compact Hausdorff spaces of countable tightness

Author: Zoltán T. Balogh
Journal: Proc. Amer. Math. Soc. 105 (1989), 755-764
MSC: Primary 03E35; Secondary 54A35, 54D30
MathSciNet review: 930252
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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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Keywords: Proper Forcing Axiom, countably compact, compact Hausdorff, countable tightness, sequential, perfect preimage of $ {\omega _1}$
Article copyright: © Copyright 1989 American Mathematical Society