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

DOI:
https://doi.org/10.1090/S0002-9939-1989-0930252-6

MathSciNet review:
930252

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Abstract | References | Similar Articles | Additional Information

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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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1989-0930252-6

Keywords:
Proper Forcing Axiom,
countably compact,
compact Hausdorff,
countable tightness,
sequential,
perfect preimage of

Article copyright:
© Copyright 1989
American Mathematical Society