Preservation of 𝛾-spaces and covering properties of products

Repovš, Dušan; Zdomskyy, Lyubomyr

doi:10.1090/proc/14593

Preservation of $\gamma$-spaces and covering properties of products
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by Dušan Repovš and Lyubomyr Zdomskyy PDF

Proc. Amer. Math. Soc. 147 (2019), 4979-4985 Request permission

Abstract:

We prove that the Hurewicz property is not preserved by finite products in the Miller model. This is a consequence of the fact that Miller forcing preserves ground model $\gamma$-spaces.

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