| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4613980 | Journal of Mathematical Analysis and Applications | 2017 | 11 Pages |
Abstract
We study ideals II on NN satisfying the following Baire-type property: if X is a complete metric space and {XA:A∈I}{XA:A∈I}is a family of nowhere dense subsets of X with XA⊂XBXA⊂XBwhenever A⊂BA⊂B, then ⋃A∈IXA≠X⋃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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
A. Avilés, V. Kadets, A. Pérez, S. Solecki,