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P-filters and hereditary Baire function spaces

✍ Scribed by Witold Marciszewski

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
422 KB
Volume
89
Category
Article
ISSN
0166-8641

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✦ Synopsis

We extend the results of Gul'ko and Sokolov proving that a filter F on w, regarded as a subspace of the Cantor set 2", is a hereditary Baire space if and only if F is a nomneager (i.e., second category) P-filter. We also prove related results on hereditary Baire spaces of continuous functions C,(X).

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