ADR implies that all sets of reals are Θ universally Baire

Grigor Sargsyan

doi:10.1007/s00153-020-00731-w

AD_R implies that all sets of reals are Θ universally Baire

Grigor Sargsyan

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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

Original language	English (US)
Pages (from-to)	1-15
Number of pages	15
Journal	Archive for Mathematical Logic
Volume	60
Issue number	1-2
DOIs	https://doi.org/10.1007/s00153-020-00731-w
State	Published - Feb 2021

All Science Journal Classification (ASJC) codes

Philosophy
Logic

Keywords

Baire sets
Determinacy
Forcing
Inner model theory
Large cradinals

Access to Document

10.1007/s00153-020-00731-w

Cite this

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title = "ADR implies that all sets of reals are Θ universally Baire",

abstract = "We show that assuming the determinacy of all games on reals, every set of reals is Θ universally baire.",

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