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H.Poincare in his prominent paper "Analysis situs" (1895) represented the first systematic study of topology. Especially he created so called Poincare duality that says " the Betti numbers equidistant from the ends are equal". This fundamental property of closed manifolds has very large generalization up to homotopy invariants of non simply connected manifolds. In my lecture I shall decribe the methods of so called noncommutative geometry and toplogy to different contemporary problems of differential toplogy.
№ | Имя | Описание | Имя файла | Размер | Добавлен |
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1. | Презентация | Mishchenko-Presentation-Hanoi-2016.pdf | 1,4 МБ | 29 июля 2016 [asmish] |