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Published June 1985 | Published
Journal Article Open

Determinacy with Complicated Strategies

Abstract

For any class of functions F from R into R, AD(F) is the assertion that in every two person game on integers one of the two players has a winning strategy in the class F. It is shown, in ZF + DC + V = L(R), that for any F of cardinality < 2^(N0)(i.e. any F which is a surjective image of R) AD(F) implies AD (the Axiom of Determinacy).

Additional Information

© 1985 American Mathematical Society. Received by the editors January 3, 1984.

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