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Let be a fibre bundle. For each let denote the fibre over b. Consider the map given by . Under what conditions is homotopic to the identity . I'm pretty sure that I need to consider a sequence of homotopy groups, but I'm not entirely sure. Any suggestions? — Fly by Night ( talk) 23:04, 20 June 2012 (UTC)
Mathematics desk | ||
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< June 19 | << May | June | Jul >> | Current desk > |
Welcome to the Wikipedia Mathematics Reference Desk Archives |
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The page you are currently viewing is an archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages. |
Let be a fibre bundle. For each let denote the fibre over b. Consider the map given by . Under what conditions is homotopic to the identity . I'm pretty sure that I need to consider a sequence of homotopy groups, but I'm not entirely sure. Any suggestions? — Fly by Night ( talk) 23:04, 20 June 2012 (UTC)