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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, 03E40 show english descriptions Cardinal characteristics of the continuum
Other aspects of forcing and Boolean-valued models
03E17 - Cardinal characteristics of the continuum
03E40 - Other aspects of forcing and Boolean-valued models
 

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