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# Cardinal Invariants of Analytic $P$-Ideals

Published:2007-06-01
Printed: Jun 2007
• Fernando Hernández-Hernández
• Michael Hrušák
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## Abstract

We study the cardinal invariants of analytic $P$-ideals, concentrating on the ideal $\mathcal{Z}$ of asymptotic density zero. Among other results we prove $\min\{ \mathfrak{b},\cov\ (\mathcal{N}) \} \leq\cov^{\ast}(\mathcal{Z}) \leq\max\{ \mathfrak{b},\non(\mathcal{N}) \right\}.$
 MSC Classifications: 03E17 - Cardinal characteristics of the continuum 03E40 - Other aspects of forcing and Boolean-valued models