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MaxWellApexLab/BicausalOT-palomar

KT. Wu

Palomar Registrypalomar/PALOMAR-2026-08-31-000007Aug 31, 2026math.LOscore 0

A Lean 4 formalization of the Bellman value representation for bicausal optimal transport, together with the descriptive-set-theoretic library it requires. The result registered by this Comparator configuration is the Kuratowski–Ryll-Nardzewski measurable selection theorem: for an arbitrary measurable space (alpha, A) and a Polish space Y, a multifunction Phi : alpha -> Set Y with nonempty closed values that is weakly measurable (the hit set {a | Phi a meets U} lies in A for every open U) admits an A-to-Borel measurable selection f with f a in Phi a for every a. The statement is measure-free…

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