Monge-Kantorovich's duality for separable Baire measures in completely regular Hausdorff spaces
Mohammed Bachir
Published: 2025/3/5
Abstract
We generalize the classical Monge-Kantorovich duality--typically established for tight (Radon) probability measures--to separable Baire probability measures, which are strictly more general than tight measures on completely regular Hausdorff spaces. Within this broader framework, we also demonstrate the existence of solutions.