Three-dimensional compact manifolds and the Poincare conjecture

2008/07/03 by Alexander A. Ermolitski, Ermolitski, Alexander A.
Mathematics · #53C21 #57M20 #57M40 #57M50 #FOS: Mathematics #General Mathematics (math.GM) #math.GM #msc:53C21 #msc:57M20 #msc:57M40 #msc:57M50

paper · pdf · doi:10.48550/arxiv.0807.0577

19 pages, 6 figures

arxiv created 2008/07/03 · arxiv updated 2009/12/01

Abstract

The aim of the work is to prove the following main theorem. Theorem. Let M3 be a three-dimensional, connected, simple-connected, closed, compact, smooth manifold. Tnen the manifold M3 is diffeomorphic to the three-dimensional sphere.

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