Metacompact subspaces of products of ordinals

Author:
William G. Fleissner

Journal:
Proc. Amer. Math. Soc. **130** (2002), 293-301

MSC (2000):
Primary 54D20; Secondary 54F05, 03E10

Published electronically:
May 25, 2001

MathSciNet review:
1855648

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Let be a subspace of the product of finitely many ordinals. is countably metacompact, and is metacompact iff has no closed subset homeomorphic to a stationary subset of a regular uncountable cardinal. A theorem generalizing these two results is: is -metacompact iff has no closed subset homeomorphic to a -stationary set where .

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Additional Information

**William G. Fleissner**

Affiliation:
Department of Mathematics, University of Kansas, Lawrence, Kansas 66045

Email:
fleissne@math.ukans.edu

DOI:
http://dx.doi.org/10.1090/S0002-9939-01-06026-9

Keywords:
Metacompact,
stationary set,
pressing down lemma,
finite product of ordinals

Received by editor(s):
March 8, 2000

Received by editor(s) in revised form:
June 6, 2000

Published electronically:
May 25, 2001

Communicated by:
Alan Dow

Article copyright:
© Copyright 2001
American Mathematical Society