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Cardinal Invariants of Analytic $P$-Ideals |
Canad. J. Math. 59(2007), 575-595
Published:2007-06-01
Printed: Jun 2007
Printed: Jun 2007
- Fernando Hernández-Hernández
- Michael Hrušák
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 |