no. 7-8
Functional Analysis
On T. Bartoszynskiʼs structure theorem for measurable filters
[Une preuve de la caractérisation par T. Bartoszynski des filtres mesurables]

Présenté par : Michel Talagrand

Talagrand, Michel1
1 Institut de Mathématiques, UMR 7586 CNRS, 4, place Jussieu, 75230 Paris cedex 05, France
Comptes Rendus. Mathématique, Tome 351 (2013) no. 7-8, pp. 281-284.

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.

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

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2013.04.009
Talagrand, Michel 1

1 Institut de Mathématiques, UMR 7586 CNRS, 4, place Jussieu, 75230 Paris cedex 05, France 
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Talagrand, Michel. On T. Bartoszynskiʼs structure theorem for measurable filters. Comptes Rendus. Mathématique, Tome 351 (2013) no. 7-8, pp. 281-284. doi : 10.1016/j.crma.2013.04.009. http://www.numdam.org/articles/10.1016/j.crma.2013.04.009/

[1] Bartoszynski, T. On the structure of measurable filters on a countable set, Real Anal. Exch., Volume 17 (1992) no. 2, pp. 681-701

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

[3] Talagrand, M. 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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