Spaces with Curvature Bounded Below

G. Perelman
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G. Perelman: Steklov Institute

A chapter in Proceedings of the International Congress of Mathematicians, 1995, pp 517-525 from Springer

Abstract: Abstract Consider the following problem: Let Mj be a collapsing sequence (i,e, Vol Mj → 0) of complete Riemannian manifolds of bounded dimension, with sectional curvatures uniformly bounded below. What can be said about the Gromov-Hausdorff limit M of such a sequence? And what is the relation between the topology and geometry of M and that of manifolds Mj with large j?.

Date: 1995
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DOI: 10.1007/978-3-0348-9078-6_45

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