Monge-Kantorovich's duality for separable Baire measures in completely regular Hausdorff spaces
Optimization and Control
2025-09-23 v5 Functional Analysis
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.
Keywords
Cite
@article{arxiv.2503.03929,
title = {Monge-Kantorovich's duality for separable Baire measures in completely regular Hausdorff spaces},
author = {Mohammed Bachir},
journal= {arXiv preprint arXiv:2503.03929},
year = {2025}
}