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arXiv · 1906.11757

Long Borel Games

J. P. Aguilera
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Abstract

It is shown that Borel games of length $\omega^2$ are determined if, and only if, for every countable ordinal $\alpha$, there is a fine-structural, countably iterable extender model of Zermelo set theory with $\alpha$-many iterated powersets above a limit of Woodin cardinals.

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J. P. Aguilera. 2019-06-27. Long Borel Games. https://arxiv.org/abs/1906.11757

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