1 citations · 1 across the 4 of their papers we have counts for
9 papers
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,…
On a problem of Erdos and Hajnal
Shimon Garti, Yair Hayut, Saharon Shelah
We address a question of ErdÅs and Hajnal about the ordinary partition relation . For , assuming…
Isomorphism Classes of Generating Sets
Tom Benhamou, James Cummings, Gabriel Goldberg +2
We introduce a new class of ultrafilters which generalizes the well-known class of simple -point ultrafilters. We prove that for any well-founded -directed partial order $\m…
The Gluing Property
Yair Hayut, Alejandro Poveda
We introduce a new compactness principle which we call the gluing property. For a measurable cardinal and a cardinal , we say that has the -gluing property if eve…
Small measurable cardinals
Yair Hayut, Asaf Karagila
We continue the work from [8] and make a small -- but significant -- improvement to the definition of -decomposable system. This provides us with a better lifting of elementary…
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…