We construct an example of a combinatorially large measure-zero set.
Nous construisons un exemple d'un ensemble combinatoirement grand, mais de mesure zéro.
Received:
Accepted:
Published online:
DOI:
10.1016/j.crma.2018.11.003
Accepted:
Published online:
Author's affiliations:
Bartoszynski, Tomek 1;
Shelah, Saharon 2
@article{CRMATH_2018__356_11-12_1053_0, author = {Bartoszynski, Tomek and Shelah, Saharon}, title = {A note on small sets of reals}, journal = {Comptes Rendus. Math\'ematique}, pages = {1053--1061}, publisher = {Elsevier}, volume = {356}, number = {11-12}, year = {2018}, doi = {10.1016/j.crma.2018.11.003}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2018.11.003/} }
TY - JOUR AU - Bartoszynski, Tomek AU - Shelah, Saharon TI - A note on small sets of reals JO - Comptes Rendus. Mathématique PY - 2018 SP - 1053 EP - 1061 VL - 356 IS - 11-12 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2018.11.003/ DO - 10.1016/j.crma.2018.11.003 LA - en ID - CRMATH_2018__356_11-12_1053_0 ER -
%0 Journal Article %A Bartoszynski, Tomek %A Shelah, Saharon %T A note on small sets of reals %J Comptes Rendus. Mathématique %D 2018 %P 1053-1061 %V 356 %N 11-12 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2018.11.003/ %R 10.1016/j.crma.2018.11.003 %G en %F CRMATH_2018__356_11-12_1053_0
Bartoszynski, Tomek; Shelah, Saharon. 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. http://www.numdam.org/articles/10.1016/j.crma.2018.11.003/
[1] On covering of real line by null sets, Pac. J. Math., Volume 131 (1988) no. 1, pp. 1-12
[2] On the structure of measurable filters on a countable set, Real Anal. Exch., Volume 17 (1992) no. 2, pp. 681-701
[3] Set Theory: on the Structure of the Real Line, A.K. Peters, 1995
[4] 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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