Arxiv
| Presentation Name： | The Borsuk-Ulam theorem for manifolds |
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| Presenter： | Oleg Rustamovich Musin (Олег Рустамович Мусин) |
| Date🧑🏻🦯➡️： | 2014-03-18 |
| Location： | 光华东主楼2001 |
| Abstract： | The famous Borsuk-Ulam theorem states that every continuous function from an n-sphere into Euclidean n-space maps some pair of antipodal point to the same point. A number of important results in combinatorics and discrete geometry have been proved by using this theorem. In this talk we will discuss a generalization of the Borsuk-Ulam type theorem for manifolds. In particular, necessary and sufficient conditions are considered for a manifold with a free involution to be a Borsuk-Ulam type. |
| Annual Speech Directory： | No.25 |
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