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Cardinal Invariants of Analytic $P$-Ideals

Published online by Cambridge University Press:  20 November 2018

Fernando Hernández-Hernández  and
Michael Hrušák
Fernando Hernández-Hernández
Affiliation:
Instituto de Matemáticas, UNAM, Unidad Morelia, Morelia, Michoacán, México C.P. 58089 email: fernando@churipo.matmor.unam.mx, michael@matmor.unam.mx
Michael Hrušák
Affiliation:
Instituto de Matemáticas, UNAM, Unidad Morelia, Morelia, Michoacán, México C.P. 58089 email: fernando@churipo.matmor.unam.mx, michael@matmor.unam.mx
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Abstract

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

Keywords

03E1703E40
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 59 , Issue 3 , 01 June 2007 , pp. 575 - 595
Copyright
Copyright © Canadian Mathematical Society 2007

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