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Long Borel Games

2019/06/27 by J. P. Aguilera, Aguilera, J. P.
Mathematics · Computer Science · #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #Mathematical and Theoretical Analysis

paper · pdf · doi:10.48550/arxiv.1906.11757

Abstract

It is shown that Borel games of length ω2 are determined if, and only if, for every countable ordinal α, there is a fine-structural, countably iterable extender model of Zermelo set theory with α-many iterated powersets above a limit of Woodin cardinals.

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