Simple closed curves in surfaces (Ex)
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Diarmuid Crowley (Talk | contribs)
(Created page with "<wikitex>; Let $\Sigma_g$ be a closed oriented surface of genus $g$ and let $\alpha_1, \dots, \alpha_g \subset \Sigma_g$ be pair-wise disjoint simple closed curves. Prove tha...")
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(Created page with "<wikitex>; Let $\Sigma_g$ be a closed oriented surface of genus $g$ and let $\alpha_1, \dots, \alpha_g \subset \Sigma_g$ be pair-wise disjoint simple closed curves. Prove tha...")
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Revision as of 04:45, 7 January 2019
Let be a closed oriented surface of genus and let be pair-wise disjoint simple closed curves. Prove that the homology classes are linearly independent if the complement is connected.