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arxiv: 1103.4165 · v1 · pith:EPXHXKZMnew · submitted 2011-03-21 · 🧮 math.DG

Some elementary consequences of Perelman's canonical neighborhood theorem

classification 🧮 math.DG
keywords dimensionaltheoremcanonicalconsequencesneighborhoodperelmanpropertiescompactness
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In this purely expository note, we recall a few known properties of 3-dimensional singularity models. These properties are direct consequences of Perelman's canonical neighborhood theorem for 3-dimensional Ricci flow and compactness theorem for 3-dimensional kappa-solutions.

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