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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
Summary:
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).
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