no. 11-12
Combinatorics
A note on small sets of reals
[Une remarque sur de petits ensembles de nombres réels]

Présenté par : the Editorial Board

Bartoszynski, Tomek1 ; Shelah, Saharon2
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, Tome 356 (2018) no. 11-12, pp. 1053-1061.

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

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

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2018.11.003
Bartoszynski, Tomek 1 ; Shelah, Saharon 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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Bartoszynski, Tomek; Shelah, Saharon. A note on small sets of reals. Comptes Rendus. Mathématique, Tome 356 (2018) no. 11-12, pp. 1053-1061. doi : 10.1016/j.crma.2018.11.003. http://archive.numdam.org/articles/10.1016/j.crma.2018.11.003/

[1] Bartoszynski, T. On covering of real line by null sets, Pac. J. Math., Volume 131 (1988) no. 1, pp. 1-12

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

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

[4] Talagrand, M. 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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