Metacompact subspaces of products of ordinals
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- by William G. Fleissner PDF
- Proc. Amer. Math. Soc. 130 (2002), 293-301 Request permission
Abstract:
Let $X$ be a subspace of the product of finitely many ordinals. $X$ is countably metacompact, and $X$ is metacompact iff $X$ has no closed subset homeomorphic to a stationary subset of a regular uncountable cardinal. A theorem generalizing these two results is: $X$ is $\lambda$-metacompact iff $X$ has no closed subset homeomorphic to a $(\kappa _1, \ldots , \kappa _n)$-stationary set where $\kappa _1 < \lambda$.References
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Additional Information
- William G. Fleissner
- Affiliation: Department of Mathematics, University of Kansas, Lawrence, Kansas 66045
- Email: fleissne@math.ukans.edu
- 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
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 293-301
- MSC (2000): Primary 54D20; Secondary 54F05, 03E10
- DOI: https://doi.org/10.1090/S0002-9939-01-06026-9
- MathSciNet review: 1855648