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  1.  26
    Simultaneous Stationary Reflection and Square Sequences.Yair Hayut & Chris Lambie-Hanson - 2017 - Journal of Mathematical Logic 17 (2):1750010.
    We investigate the relationship between weak square principles and simultaneous reflection of stationary sets.
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  2.  4
    The Special Aronszajn Tree Property.Mohammad Golshani & Yair Hayut - forthcoming - Journal of Mathematical Logic:2050003.
    Assuming the existence of a proper class of supercompact cardinals, we force a generic extension in which, for every regular cardinal [Formula: see text], there are [Formula: see text]-Aronszajn trees, and all such trees are special.
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  3.  13
    Restrictions on Forcings That Change Cofinalities.Yair Hayut & Asaf Karagila - 2016 - Archive for Mathematical Logic 55 (3-4):373-384.
    In this paper we investigate some properties of forcing which can be considered “nice” in the context of singularizing regular cardinals to have an uncountable cofinality. We show that such forcing which changes cofinality of a regular cardinal, cannot be too nice and must cause some “damage” to the structure of cardinals and stationary sets. As a consequence there is no analogue to the Prikry forcing, in terms of “nice” properties, when changing cofinalities to be uncountable.
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  4.  8
    Square and Delta Reflection.Laura Fontanella & Yair Hayut - 2016 - Annals of Pure and Applied Logic 167 (8):663-683.
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  5.  11
    Destructibility of the Tree Property at ${\Aleph _{\Omega + 1}}$.Yair Hayut & Menachem Magidor - 2019 - Journal of Symbolic Logic 84 (2):621-631.
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  6.  10
    Destructibility of the Tree Property at אω+1.Yair Hayut & Menachem Magidor - forthcoming - Journal of Symbolic Logic:1-10.
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  7.  8
    The First Omitting Cardinal for Magidority.Shimon Garti & Yair Hayut - 2019 - Mathematical Logic Quarterly 65 (1):95-104.
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  8.  16
    The Strong Tree Property and Weak Square.Yair Hayut & Spencer Unger - 2017 - Mathematical Logic Quarterly 63 (1-2):150-154.
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