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Normal Subspaces of Products of Ordinals

Fleissner, William G.
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Abstract
Let X be a subspace of the product of nitely many ordinals. If X is normal, then X is strongly zero-dimensional, collectionwise normal, and shrinking. The proof uses ( 1; : : : ; n)-stationary sets.
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This is the published version, also available here: http://dx.doi.org/10.1090/S0002-9939-02-06751-5#sthash.j2cuGYf7.dpuf. First published in Proc. Amer. Math. Soc. in 2003, published by the American Mathematical Society.
Date
2002-12-01
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American Mathematical Society
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Mathematics Scholarly Works
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FleissnerW_PAMS_131(7)2279.pdf
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Keywords
Normal, collectionwise normal, shrinking, stationary set, pressing down lemma, flnite product of ordinals
Citation
Fleissner, William G. "Normal Subspaces of Products of Ordinals." Proc. Amer. Math. Soc. (2003) 131, 7. 2279-2287. http://doi.org/10.1090/S0002-9939-02-06751-5.
URI
https://hdl.handle.net/1808/16726
DOI
10.1090/S0002-9939-02-06751-5
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