An extension of borel determinacy

Annals of Pure and Applied Logic 49 (3):279-293 (1990)
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Abstract

We prove the determinacy of all Δ 1 1 games on arbitrary trees, and we use this result and the assumption that a measurable cardinal exists to demonstrate the determinacy of all games on ω ω that belong both to – Π 1 1 and to its dual

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Donald A. Martin
University of California, Los Angeles

Citations of this work

The real core model and its scales.Daniel W. Cunningham - 1995 - Annals of Pure and Applied Logic 72 (3):213-289.
Is there a set of reals not in K(R)?Daniel W. Cunningham - 1998 - Annals of Pure and Applied Logic 92 (2):161-210.
The Determinacy of Blackwell Games.Donald A. Martin - 1998 - Journal of Symbolic Logic 63 (4):1565-1581.
Determinacy in the difference hierarchy of co-analytic sets.P. D. Welch - 1996 - Annals of Pure and Applied Logic 80 (1):69-108.
Unraveling Π11 sets.Itay Neeman - 2000 - Annals of Pure and Applied Logic 106 (1-3):151-205.

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References found in this work

Analytic determinacy and 0#. [REVIEW]Leo Harrington - 1978 - Journal of Symbolic Logic 43 (4):685 - 693.
The equivalence of determinacy and iterated sharps.Derrick Albert Dubose - 1990 - Journal of Symbolic Logic 55 (2):502-525.

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