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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > 1-Uryson width of surfaces
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If you have a question about this talk, please contact nobody. NPCW06 - Non-positive curvature and applications The $k$-Uryson width ($UW_k$) of a manifold gives a way to describe how close is the manifold to a $k$-dimensional complex. It turns out that this is a useful tool to approach several geometric problems. In this talk I will give a brief survey of some applications of Uryson width and I will sketch the proof of the following two results: 1. If $\Sigma $ is a surface then $UW_1(\Sigma )\leq UW_1(\widetilde \Sigma)$. 2. If $M$ is a manifold with virtually cyclic fundamental group then $UW_1(M)\leq 6\cdot UW_1(\widetilde M)$. (joint with H. Alpert, A. Banerjee ) This talk is part of the Isaac Newton Institute Seminar Series series. This talk is included in these lists:
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