English

$F_\sigma$ Games and Reflection in $L(\mathbb{R})$

Logic 2019-06-28 v1

Abstract

It is shown that determinacy of FσF_\sigma games of length ω2\omega^2 is equivalent to the existence of a transitive model of KP + AD which contains the reals and reflects Π1\Pi_1 facts about the next admissible set.

Cite

@article{arxiv.1906.11762,
  title  = {$F_\sigma$ Games and Reflection in $L(\mathbb{R})$},
  author = {J. P. Aguilera},
  journal= {arXiv preprint arXiv:1906.11762},
  year   = {2019}
}

Comments

20 pages. This version: February 2019

R2 v1 2026-06-23T10:05:39.733Z