{"paper":{"title":"On the Duality Theory for the Monge-Kantorovich Transport Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.DG","math.PR"],"primary_cat":"math.CA","authors_text":"Christian L\\'eonard (MODAL'X), Mathias Beiglb\\\"ock (VUT), Walter Schachermayer (VUT)","submitted_at":"2010-10-26T14:14:00Z","abstract_excerpt":"The paper is accompanying \"A general Duality Theorem for the Monge-Kantorovich Transport Problem\". We explain the methods used in this article in an elementary setting and present two examples complementing the results obtained therein."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.5403","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}