Betti numbers of 3-manifolds (Ex)
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− | Let $G$ be the fundamental group of a closed orientable $3$-manifold. Show that $b_2(G) \ | + | Let $G$ be the fundamental group of a closed orientable $3$-manifold. Show that $b_2(G) \leq b_1(G)$. |
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Revision as of 08:45, 6 January 2019
Let be the fundamental group of a closed orientable -manifold. Show that .