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math.LO2025
Hierarchies of Beliefs and Measurable Uniformizations
Stuart Zoble
We extend the Fundamental Theorem of Epistemic Game Theory to games with Baire class one payoffs and locally compact Polish strategy spaces, and under Projective Determinacy, to ga…
math.LO2008
Bounded Martin's Maximum with Many Witnesses
Stuart Zoble
We study a strengthening of Bounded Martin's Maximum which asserts that if a Σ_1 fact holds of ω_2^V in a stationary set preserving extension then it holds in V for a stationary se…
math.LO2006
On a Fragment of the Universal Baire Property for Sigma^1_2 Sets
Stuart Zoble
There is a well-known global equivalence between Σ^1_2 sets having the Universal Baire property, two-step Σ^1_3 generic absoluteness, and the closure of the universe under the shar…