Extending the ideal of nowhere dense subsets of rationals to a P-ideal
Rafał Filipów; Nikodem Mrożek; Ireneusz Recław; Piotr Szuca
Commentationes Mathematicae Universitatis Carolinae (2013)
- Volume: 54, Issue: 3, page 429-435
- ISSN: 0010-2628
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topFilipów, Rafał, et al. "Extending the ideal of nowhere dense subsets of rationals to a P-ideal." Commentationes Mathematicae Universitatis Carolinae 54.3 (2013): 429-435. <http://eudml.org/doc/260589>.
@article{Filipów2013,
abstract = {We show that the ideal of nowhere dense subsets of rationals cannot be extended to an analytic P-ideal, $F_\sigma $ ideal nor maximal P-ideal. We also consider a problem of extendability to a non-meager P-ideals (in particular, to maximal P-ideals).},
author = {Filipów, Rafał, Mrożek, Nikodem, Recław, Ireneusz, Szuca, Piotr},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {P-ideal; nowhere dense set; extension; analytic ideal; maximal ideal; meager ideal; ideal convergence; P-ideal; nowhere dense set; extension; analytic ideal; maximal ideal; meager ideal; ideal convergence},
language = {eng},
number = {3},
pages = {429-435},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Extending the ideal of nowhere dense subsets of rationals to a P-ideal},
url = {http://eudml.org/doc/260589},
volume = {54},
year = {2013},
}
TY - JOUR
AU - Filipów, Rafał
AU - Mrożek, Nikodem
AU - Recław, Ireneusz
AU - Szuca, Piotr
TI - Extending the ideal of nowhere dense subsets of rationals to a P-ideal
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2013
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 54
IS - 3
SP - 429
EP - 435
AB - We show that the ideal of nowhere dense subsets of rationals cannot be extended to an analytic P-ideal, $F_\sigma $ ideal nor maximal P-ideal. We also consider a problem of extendability to a non-meager P-ideals (in particular, to maximal P-ideals).
LA - eng
KW - P-ideal; nowhere dense set; extension; analytic ideal; maximal ideal; meager ideal; ideal convergence; P-ideal; nowhere dense set; extension; analytic ideal; maximal ideal; meager ideal; ideal convergence
UR - http://eudml.org/doc/260589
ER -
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