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Haken manifold / Geometrization conjecture / Dehn surgery / Seifert fiber space / Manifold / Prime decomposition / Allen Hatcher / Orientability / Topological manifold / Topology / 3-manifolds / Geometric topology
Date: 2004-05-08 13:52:01
Haken manifold
Geometrization conjecture
Dehn surgery
Seifert fiber space
Manifold
Prime decomposition
Allen Hatcher
Orientability
Topological manifold
Topology
3-manifolds
Geometric topology

homotopy sphere. The Poincar´ e conjecture asserts that S 3 is the only such manifold. (It seems that Poincar´ e himself did not explicitly formulate this as a conjecture.) As we shall see shortly, in the nonsimply-con

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