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Can ideals without ccc be interesting? - MaRDI portal

Can ideals without ccc be interesting? (Q1315471)

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scientific article; zbMATH DE number 513356
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English
Can ideals without ccc be interesting?
scientific article; zbMATH DE number 513356

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    Can ideals without ccc be interesting? (English)
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    10 March 1994
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    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.
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    ideals of sets
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    perfect sets
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    Polish space
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    Borel sets
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