How to win some simple iteration games

Details How to win some simple iteration games How to win some simple iteration games

1993-10-09

arxiv.org/abs/math/9310212v1

Mathematics

Logic

Scientific paper

We introduce two new iteration games: the game G, which is a strengthening of
the weak iteration game, and the game G+, which is somewhat stronger than G but
weaker than the full iteration game of length omega_1.
For a countable M elementarily embeddable in some V_{eta}, we can show that
II wins G(M,omega_1) and that I does not win the G+(M).

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