Can ideals without ccc be interesting?
type: Item
instance of: scholarly article
title: Can ideals without ccc be interesting?
zbMATH Open document ID: 0795.54052
DOI: 10.1016/0166-8641(94)90040-X
author: M. Balcerzak
published in: Topology and its Applications
publication date: 1994-03-10T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 54H05
Mathematics Subject Classification ID: 03E15
Mathematics Subject Classification ID: 28A05
zbMATH DE Number: 513356
zbMATH Keywords: ideals of sets
zbMATH Keywords: perfect sets
zbMATH Keywords: Polish space
zbMATH Keywords: Borel sets
reviewed by: Petr Holický
MaRDI profile type: Publication
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full work available at URL: 0166-8641(94)90040-x
OpenAlex ID: W2043667610
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description: scientific article; zbMATH DE number 513356