On the determinacy of games on ordinals

Creators: Harrington, Leo A.; Kechris, Alexander S.

Abstract

Let λ be an ordinal and A ⊆ λ^ω x λ^ω. As usual we associate with it the game G(A;λ): I II I and II alternatively ξ0 η0 play ξ0, η0, ξ1,η1,.... from λ; ξ1 I wins iff (ξ, ή) εA. η1 ξ ή.

Additional Information

© 1981 North Holland Publishing Company. Received 21 March 1980. Work partially supported by NSF Grant MCS 79-07774. Work partially supported by NSF Grant MCS 76-17254 A01. The author is an A.P. Sloan Foundation Fellow.

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Resource type: Journal Article
Publisher: Elsevier
Published in: Annals of Mathematical Logic, 20(2), 109-154, ISSN: 0003-4843.

Created:: August 19, 2023
Modified:: March 5, 2024