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Metacompact Subspaces of Products or Ordinals

Fleissner, William G.
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Abstract
Let X be a subspace of the product of nitely many ordinals. X is countably metacompact, and X is metacompact i X has no closed subset homeomorphic to a stationary subset of a regular uncountable cardinal. A theorem generalizing these two results is: X is -metacompact i X has no closed subset homeomorphic to a ( 1; : : : ; n)-stationary set where 1 < .
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This is the published version, also available here: http://dx.doi.org/10.1090/S0002-9939-01-06026-9. First published in Proc. Amer. Math. Soc. in 2001, published by the American Mathematical Society.
Date
2001-05-01
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American Mathematical Society
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Mathematics Scholarly Works
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Fleissner, William G. "Metacompact Subspaces of Products or Ordinals." Proc. Amer. Math. Soc. (2001) 130, 1. 293-301. http://dx.doi.org/10.1090/S0002-9939-01-06026-9.
URI
https://hdl.handle.net/1808/16723
DOI
10.1090/S0002-9939-01-06026-9
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