Abstract
We will see that: (1) In ZFC, for each subspace X⫅ω 2 1 , the following are equivalent; (a) X is normal, (b) X is countably paracompact and strongly collectionwise Hausdorff, (c) X is expandable. (2) Under a variety of different set-theoretic assumptions (including V = L and PMEA) all countably paracompact subspaces of ω 2 1 are normal. (3) All subspaces of ω 2 1 are collectionwise Hausdorff.
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