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MaxWellApexLab/BicausalOT-palomar

KT. Wu

Palomar Registrypalomar/PALOMAR-2026-08-31-000010Aug 31, 2026math.PRscore 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 Polish-space structure of the space of probability measures: if X is a Polish space carrying its Borel sigma-algebra, then the space of Borel probability measures on X, with the topology of weak convergence, is again Polish — its topology is second countable and admits a complete compatible metric. Mathlib at the pinned revision already supplies the Levy-Prokhorov metric, the…

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