A friendly iteration forcing that the four cardinal characteristics of E can be pairwise different

2022/06/29 by Cardona, Miguel A. · 1 citation
#03E05 #03E17 #03E35 #03E40 #FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.2206.14703

Abstract

Let E be the σ-ideal generated by the closed measure zero sets of reals. We use an ultrafilter-extendable matrix iteration of ccc posets to force that, for E, their associated cardinal characteristics (i.e. additivity, covering, uniformity and cofinality) are pairwise different.

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