A note on small sets of reals

Tomek Bartoszynski; Saharon Shelah

doi:10.1016/j.crma.2018.11.003

Combinatorics

A note on small sets of reals
[Une remarque sur de petits ensembles de nombres réels]

Présenté par : the Editorial Board

Tomek Bartoszynski ¹ ; Saharon Shelah ²

¹ National Science Foundation, Division of Mathematical Sciences, 2415 Eisenhower Avenue, Alexandria, VA 22314, USA
² Department of Mathematics, Hebrew University, Jerusalem, Israel

Comptes Rendus. Mathématique, Volume 356 (2018) no. 11-12, pp. 1053-1061.

Abstract (VO)
Résumé

We construct an example of a combinatorially large measure-zero set.

Nous construisons un exemple d'un ensemble combinatoirement grand, mais de mesure zéro.

Reçu le : 2018-04-16
Accepté le : 2018-11-06
Publié le : 2018-11-01

DOI : 10.1016/j.crma.2018.11.003

Affiliations des auteurs :

Tomek Bartoszynski ¹ ; Saharon Shelah ²

¹ National Science Foundation, Division of Mathematical Sciences, 2415 Eisenhower Avenue, Alexandria, VA 22314, USA
² Department of Mathematics, Hebrew University, Jerusalem, Israel

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     title = {A note on small sets of reals},
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     language = {en},
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Tomek Bartoszynski; Saharon Shelah. A note on small sets of reals. Comptes Rendus. Mathématique, Volume 356 (2018) no. 11-12, pp. 1053-1061. doi : 10.1016/j.crma.2018.11.003. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2018.11.003/

Bibliographie
Cité par

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

[3] T. Bartoszynski; H. Judah Set Theory: on the Structure of the Real Line, A.K. Peters, 1995

[4] M. Talagrand On T. Bartoszynski structure theorem for measurable filters, C. R. Acad. Sci. Paris, Ser. I, Volume 351 (2013) no. 7–8, pp. 281-284

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