The 𝛾_{𝑝} property and the reals

Garcia-Ferreira, Salvador; Laflamme, Claude

doi:10.1090/S0002-9939-98-04193-8

The $\gamma _p$ property and the reals
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by Salvador Garcia-Ferreira and Claude Laflamme PDF

Proc. Amer. Math. Soc. 126 (1998), 1791-1798 Request permission

Abstract:

The $\gamma _p$ property may be generalized by using filters on $\omega$ in a very natural way. We analyze the necessary requirements for a space $\mathcal {X}$ to have property $\gamma _{\mathcal {F}}$ for a filter $\mathcal {F}$. We construct special filters for which $\mathbb {R}$ has the $\gamma _{\mathcal {F}}$ property, in particular a P-point and a Q-point.

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