Extending the ideal of nowhere dense subsets of rationals to a P-ideal

Commentationes mathematicae Universitatis Carolinae

Rafał Filipów¹ 

关键词: P-ideal;    nowhere dense set;    extension;    analytic ideal;    maximal ideal;    meager ideal;    ideal convergence;   

DOI  :  

学科分类：物理化学和理论化学

来源: Univerzita Karlova v Praze * Matematicko-Fyzikalni Fakulta / Charles University in Prague, Faculty of Mathematics and Physics

【 摘 要 】

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).

【 授权许可】

CC BY