Homotopy excision theorem: Difference between revisions

Revision as of 11:35, 7 April 2014

Revision as of 11:36, 7 April 2014

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A nice geometric proof is given in the book by tom Dieck. <ref>T. tom Dieck, ''Algebraic Topology'', EMS Textbooks in Mathematics, (2008).</ref>

This result should also be seen as a consequence of the [[Blakers-MasseyBlakers–Massey theorem]], the most general form of which, dealing with the non-simply-connected case.<ref>R. Brown and J.-L. Loday, ''Homotopical excision and Hurewicz theorems for ''n''-cubes of spaces'', Proc. London Math. Soc., (3) 54 (1987) 176-192.</ref>

The most important consequence is the [[Freudenthal suspension theorem]].