More on the cut and choose game

Annals of Pure and Applied Logic 76 (3):291-301 (1995)
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Abstract

The cut and choose game is one of the infinitary games on a complete Boolean algebra B introduced by Jech. We prove that existence of a winning strategy for II in implies semiproperness of B. If the existence of a supercompact cardinal is consistent then so is “for every 1-distributive algebra B II has a winning strategy in ”

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10.1016/0168-0072(95)00002-x

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Citations of this work

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Power-collapsing games.Miloš S. Kurilić & Boris Šobot - 2008 - Journal of Symbolic Logic 73 (4):1433-1457.
More on cichoń's diagram and infinite games.Masaru Kada - 2000 - Journal of Symbolic Logic 65 (4):1713-1724.

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References found in this work

The core model.A. Dodd & R. Jensen - 1981 - Annals of Mathematical Logic 20 (1):43-75.
Adding a closed unbounded set.J. E. Baumgartner, L. A. Harrington & E. M. Kleinberg - 1976 - Journal of Symbolic Logic 41 (2):481-482.
The covering lemma for K.Tony Dodd & Ronald Jensen - 1982 - Annals of Mathematical Logic 22 (1):1-30.
The strenght of the failure of the singular cardinal hypothesis.Moti Gitik - 1991 - Annals of Pure and Applied Logic 51 (3):215-240.
The covering lemma for L[U].A. J. Dodd & R. B. Jensen - 1982 - Annals of Mathematical Logic 22 (2):127-135.

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