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Towards the Poincaré conjecture and the classification of 3-manifolds. (English) Zbl 1168.57303

Summary: This article surveys a century of progress on the problem of classifiying compact, three-dimensional manifolds.

MSC:

57M40 Characterizations of the Euclidean \(3\)-space and the \(3\)-sphere (MSC2010)
53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions
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