Cardinal Invariants of Analytic $P$ -Ideals

Hernández-Hernández, Fernando ; Hrušák, Michael

Canadian journal of mathematics, Tome 59 (2007) no. 3, pp. 575-595

Résumé

We study the cardinal invariants of analytic $P$ -ideals, concentrating on the ideal $Z$ of asymptotic density zero. Among other results we prove $\min \,\{\mathfrak{b},\,\operatorname{cov}(\mathcal{N})\,\}\,\le \,\operatorname{cov}*\,(Z)\,\le \,\max \{\mathfrak{b},\,\text{non(}\mathcal{N}\text{)}\}$ .

Détail

DOI : 10.4153/CJM-2007-024-8

Mots-clés : 03E17, 03E40

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