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 ℵ1<add(N)<cov(N)<b<non(E)<non(M)<cov(M)<cov(E)<d<non(N)<cof(N)<2ℵ0 holds. This talk is related to the speaker's previous talk at the Research Seminar in Set Theory at Uni Wien.