$$AD_{mathbb {R}}$$ A D R implies that all sets of reals are $$Theta $$ Θ universally Baire

Archive for Mathematical Logic 60 (1-2):1-15 (2020)
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Abstract

We show that assuming the determinacy of all games on reals, every set of reals is \ universally baire.

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2021

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10.1007/s00153-020-00731-w

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ADR\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$AD_{\mathbb {R}}$$\end{document} implies that all sets of reals are Θ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Theta $$\end{document} universally Baire. [REVIEW]Grigor Sargsyan - 2021 - Archive for Mathematical Logic 60 (1-2):1-15.
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An inner model theoretic proof of Becker’s theorem.Grigor Sargsyan - 2019 - Archive for Mathematical Logic 58 (7-8):999-1003.

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