Compact 𝒢-souslin sets are 𝒢_{𝛿}’s

Braude, Eric John

doi:10.1090/S0002-9939-1973-0321047-3

Compact $\mathcal {G}$-souslin sets are $G_\delta$’s
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Proc. Amer. Math. Soc. 40 (1973), 250-252 Request permission

Abstract:

The result of the title generalizes and places in a new set-theoretical context the well-known theorem of Halmos that every compact Baire set is a ${\mathcal {G}_\delta }$. Šneĭder’s result of 1968 that every perfectly normal compact space with $\mathcal {G}$-Souslin diagonal is metrizable, can now be seen to be true without the perfect normality condition.

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