Title of article
P-filters and hereditary Baire function spaces
Author/Authors
Marciszewski، نويسنده , , Witold، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 1998
Pages
7
From page
241
To page
247
Abstract
We extend the results of Gulʹko and Sokolov proving that a filter F on ω, regarded as a subspace of the Cantor set 2ω, is a hereditary Baire space if and only if F is a nonmeager (i.e., second category) P-filter. We also prove related results on hereditary Baire spaces of continuous functions Cp(X).
Keywords
Hereditary Baire space , P-filter , Nonmeager filter , Cp(X) , Function space
Journal title
Topology and its Applications
Serial Year
1998
Journal title
Topology and its Applications
Record number
1579298
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