activity
20152026
most citedOn the consistency of local and global versions of Chang's Conjecture

12 citations · 49 across the 35 of their papers we have counts for

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Showing 2026Show all

3 papers · 1 filter

math.LO2026

Compactness phenomena in HOD and the Optimality of Magidor's Covering theorem

Tom Benhamou, James Cummings, Yair Hayut +2

We continue the study of compactness phenomena between the set-theoretic universe and initiated by Goldberg--Poveda \cite{GolPov}. We focus on compactness phenomena…

math.LO2026

More notions of forcing add a square

Yair Hayut, Assaf Rinot, Zhixing You

Foreman and Magidor showed that the continuum hypothesis implies the existence of a countably-closed -cc forcing notion for adding . Here,…

math.LO2026

The directedness of the Rudin-Keisler order at measurable cardinals

Yair Hayut, Alejandro Poveda

The manuscript is concerned with the Rudin-Keisler order of ultrafilters on measurable cardinals. The main theorem proved read as follows: Given regular cardinals , the fo…