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- Homotopy_excision_theorem abstract "In algebraic topology, the homotopy excision theorem offers a substitute for the absence of excision in homotopy theory. More precisely, let be an excisive triad with nonempty, and suppose the pair is -connected, , and the pair is -connected, . Then the map induced by the inclusion is bijective for and is surjective for . A nice geometric proof is given in the book by tom Dieck.This result should also be seen as a consequence of the Blakers–Massey theorem, the most general form of which, dealing with the non-simply-connected case.The most important consequence is the Freudenthal suspension theorem.".
- Homotopy_excision_theorem wikiPageID "40769910".
- Homotopy_excision_theorem wikiPageRevisionID "603137832".
- Homotopy_excision_theorem subject Category:Homotopy_theory.
- Homotopy_excision_theorem subject Category:Theorems_in_algebraic_topology.
- Homotopy_excision_theorem comment "In algebraic topology, the homotopy excision theorem offers a substitute for the absence of excision in homotopy theory. More precisely, let be an excisive triad with nonempty, and suppose the pair is -connected, , and the pair is -connected, . Then the map induced by the inclusion is bijective for and is surjective for .".
- Homotopy_excision_theorem label "Homotopy excision theorem".
- Homotopy_excision_theorem sameAs m.0y68nj2.
- Homotopy_excision_theorem sameAs Q17030684.
- Homotopy_excision_theorem sameAs Q17030684.
- Homotopy_excision_theorem wasDerivedFrom Homotopy_excision_theorem?oldid=603137832.
- Homotopy_excision_theorem isPrimaryTopicOf Homotopy_excision_theorem.