An example involving Baire spaces

White, H. E.

doi:10.1090/S0002-9939-1975-0362249-1

An example involving Baire spaces
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Proc. Amer. Math. Soc. 48 (1975), 228-230 Request permission

Abstract:

If ${2^{{\aleph _0}}} = {\aleph _1}$, then there is a regular, Hausdorff space $Y$ such that (1) every subspace of $Y$ is a Lindelöf, Baire space, (2) $Y$ is a homogeneous space, and (3) $Y \times Y$ is of the first category.

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