| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660737 | Topology and its Applications | 2007 | 10 Pages |
Abstract
For a Polish space X and a σ-ideal I of subsets of X which has a Borel base we consider families A of sets in I with the union ⋃A not in I. We determine several conditions on A which imply the existence of a subfamily A′ of A whose union ⋃A′ is not in the σ-field generated by the Borel sets on X and I. Main examples are X=R and I being the ideal of sets of Lebesgue measure zero or the ideal of sets of the first Baire category.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
