Comptes Rendus
no. 7-8
Functional Analysis
On T. Bartoszynskiʼs structure theorem for measurable filters
Michel Talagrand
Michel Talagrand1
1Institut de Mathématiques, UMR 7586 CNRS, 4, place Jussieu, 75230 Paris cedex 05, France
Comptes Rendus. Mathématique, Volume 351 (2013) no. 7-8, pp. 281-284

We give a streamlined proof of T. Bartoszynskiʼs characterization of Lebesgue-measurable filters.

Nous donnons une démonstration simplifiée dʼun théorème remarkable de T. Bartoszynski caractérisant les filtres qui sont Lebesgue-mesurables en tant que sous-ensembles de {0,1}N.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2013.04.009

Michel Talagrand  1

1 Institut de Mathématiques, UMR 7586 CNRS, 4, place Jussieu, 75230 Paris cedex 05, France 
Michel Talagrand. On T. Bartoszynskiʼs structure theorem for measurable filters. Comptes Rendus. Mathématique, Volume 351 (2013) no. 7-8, pp. 281-284. doi: 10.1016/j.crma.2013.04.009
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[1] T. Bartoszynski On the structure of measurable filters on a countable set, Real Anal. Exch., Volume 17 (1992) no. 2, pp. 681-701

[2] M. Talagrand Mesurabilité, rapidité, propriété de Baire, Stud. Math., Volume LXXIV (1982), pp. 283-291

[3] M. Talagrand Are many small sets explicitly small?, STOCʼ10. Proceedings of the 2010 ACM International Symposium on Theory of Computing, ACM, New York, 2010, pp. 13-35

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