%0 Journal Article %T On the Duality Theory for the Monge--Kantorovich Transport Problem %A Mathias Beiglboeck %A Christian Leonard %A Walter Schachermayer %J Mathematics %D 2009 %I arXiv %X 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. %U http://arxiv.org/abs/0911.4475v1