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Abstract view

# Cardinal Invariants of Analytic $P$-Ideals

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