Geodesic
Strong meager properties for filters
Fundamenta Mathematicae, Tome 146 (1994) no. 3, pp. 283-293

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We analyze several "strong meager" properties for filters on the natural numbers between the classical Baire property and a filter being $F_σ$. Two such properties have been studied by Talagrand and a few more combinatorial ones are investigated. In particular, we define the notion of a P⁺-filter, a generalization of the traditional concept of P-filter, and prove the existence of a non-meager P⁺-filter. Our motivation lies in understanding the structure of filters generated by complements of members of a maximal almost disjoint family.
DOI : 10.4064/fm-146-3-283-293
Keywords: filter, meager, Baire property

Claude Laflamme 1

1 
@article{10_4064_fm_146_3_283_293,
     author = {Claude Laflamme},
     title = {Strong meager properties for filters},
     journal = {Fundamenta Mathematicae},
     pages = {283--293},
     publisher = {mathdoc},
     volume = {146},
     number = {3},
     year = {1994},
     doi = {10.4064/fm-146-3-283-293},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-146-3-283-293/}
}
TY  - JOUR
AU  - Claude Laflamme
TI  - Strong meager properties for filters
JO  - Fundamenta Mathematicae
PY  - 1994
SP  - 283
EP  - 293
VL  - 146
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm-146-3-283-293/
DO  - 10.4064/fm-146-3-283-293
LA  - en
ID  - 10_4064_fm_146_3_283_293
ER  - 
%0 Journal Article
%A Claude Laflamme
%T Strong meager properties for filters
%J Fundamenta Mathematicae
%D 1994
%P 283-293
%V 146
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm-146-3-283-293/
%R 10.4064/fm-146-3-283-293
%G en
%F 10_4064_fm_146_3_283_293
Claude Laflamme. Strong meager properties for filters. Fundamenta Mathematicae, Tome 146 (1994) no. 3, pp. 283-293. doi: 10.4064/fm-146-3-283-293

Cité par Sources :