More on cichoń's diagram and infinite games

Journal of Symbolic Logic 65 (4):1713-1724 (2000)
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Abstract

Some cardinal invariants from Cichon's diagram can be characterized using the notion of cut-and-choose games on cardinals. In this paper we give another way to characterize those cardinals in terms of infinite games. We also show that some properties for forcing, such as the Sacks Property, the Laver Property and ω ω -boundingness, are characterized by cut-and-choose games on complete Boolean algebras

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References found in this work

More game-theoretic properties of boolean algebras.Thomas J. Jech - 1984 - Annals of Pure and Applied Logic 26 (1):11-29.
More on the cut and choose game.Jindřich Zapletal - 1995 - Annals of Pure and Applied Logic 76 (3):291-301.

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