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Topological Aspects of the Monge and Kantorovich Problems

Student: Nikita Zakharov

Supervisor: Vladimir Bogachev

Faculty: Faculty of Mathematics

Educational Programme: Mathematics (Master)

Final Grade: 8

Year of Graduation: 2020

In this work we study the Monge–Kantorovich problem and the possibilities to express its properties through one-dimensional projections. Some positive results are proved and a number of counter-examples to natural conjectures are constructed.

Full text (added June 7, 2020)

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