Betti numbers of 3-manifolds (Ex)

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Let $G$ be the fundamental group of a closed orientable $3$-manifold. Show that $b_2(G) \leq b_1(G)$.
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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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[[Category:Exercises]]
[[Category:Exercises]]
[[Category:Exercises without solution]]
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[[Category:Exercises with solution]]

Latest revision as of 07:07, 8 January 2019

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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