Abstract
We study ideals I on N satisfying the following Baire-type property: if X is a complete metric space and {XA:A∈I} is a family of nowhere dense subsets of X with XA⊂XB whenever A⊂B, then ⋃A∈IXA≠X. We give several characterizations and determine the ideals having this property among certain classes like analytic ideals and P-ideals. We also discuss similar covering properties when considering families of compact and meager subsets of X.
Original language | English (US) |
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Pages (from-to) | 1221-1231 |
Number of pages | 11 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 445 |
Issue number | 2 |
DOIs | |
State | Published - Jan 15 2017 |
Keywords
- Analytic set
- Baire theorem
- Ideal of sets
- Nowhere dense
ASJC Scopus subject areas
- Analysis
- Applied Mathematics