Normal subspaces of products of finitely many ordinals

Fleissner, William

doi:10.1090/S0002-9939-02-06751-5

Normal subspaces of products of finitely many ordinals
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by William G. Fleissner PDF

Proc. Amer. Math. Soc. 131 (2003), 2279-2287 Request permission

Abstract:

Let $X$ be a subspace of the product of finitely many ordinals. If $X$ is normal, then $X$ is strongly zero-dimensional, collectionwise normal, and shrinking. The proof uses $(\kappa _1, \ldots , \kappa _n)$-stationary sets.

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