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Remarks on nonmeasurable unions of big point families

✍ Scribed by Robert Rałowski

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
209 KB
Volume
55
Category
Article
ISSN
0044-3050

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✦ Synopsis

Abstract

We show that under some conditions on a family A ⊂ I there exists a subfamily A~0~ ⊂ A such that ∪ A~0~ is nonmeasurable with respect to a fixed ideal I with Borel base of a fixed uncountable Polish space. Our result applies to the classical ideal of null subsets of the real line and to the ideal of first category subsets of the real line (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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