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The property and the reals
Authors:Salvador Garcia-Ferreira   Claude Laflamme
Affiliation:Instituto de Matemáticas, Ciudad Universitaria (UNAM), D. F. 04510, México ; Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada T2N 1N4
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.

Keywords:
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