Can ideals without ccc be interesting?
The properties of ideals \({\mathcal I}\) of sets in a perfect Polish space \(X\) are studied which ensure the existence of large disjoint families of Borel sets which are large in the sense that they do not belong to \({\mathcal I}\). The property \((M)\) concerns all Polish spaces, property \((D)\) Polish groups and disjoint translations of large Borel sets with respect to different ideals. They are applied to several particular ideals.
scientific article; zbMATH DE number 513356
scientific article