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Algebra Seminar talk

2024-11-29
Takashi Yamazoe
Cichoń's maximum with cardinals of the closed null ideal

Abstract:
Let E denote the σ-ideal generated by closed null sets on R. We show that the uniformity and the covering of E can be added to Cichoń's maximum with distinct values. More specifically, it is consistent that 1<add(N)<cov(N)<b<non(E)<non(M)<cov(M)<cov(E)<d<non(N)<cof(N)<20 holds. This talk is related to the speaker's previous talk at the Research Seminar in Set Theory at Uni Wien.