On cardinal characteristics associated with the strong measure zero ideal

2020/03/16 by Cardona, Miguel A. · 1 citation
#FOS: Mathematics #Logic (math.LO) #Strong measure zero sets #cardinal invariants #matrix iteration

paper · doi:10.48550/arxiv.2003.07066

Abstract

Let SN be the strong measure zero σ-ideal. We prove a result providing bounds for cof(SN) which implies Yorioka's characterization of the cofinality of the strong measure zero. In addition, we use forcing matrix iterations to construct a model of ZFC that satisfies add(SN)=cov(SN)

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• Directed schemes of ideals and cardinal characteristics, I: the meager additive ideal

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