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Logic Seminar

Justin MooreCornell University
The combinatorics of the club filter and the size of the continuum

Wednesday, February 1, 2017 - 4:00pm
Malott 206

I will present Aspero and Mota's recent work in which they obtain a model of set theory which satisfies |R|>2 and in which the filter of closed unbounded subsets of ω1 has a strong combinatorial property. Specifically, in their model if Dαα is closed for each αω1, there is a closed unbounded Eω1 such that if α is a limit ordinal, then there is an α0<α such that E(α0,α) is contained in or disjoint from Dα.