Homotopy excision theorem
id:
homotopy-excision-theorem-198-3239533
title:
Homotopy excision theorem
text:
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 C = A ∩ B nonempty, and suppose the pair is-connected, m ≥ 2 , and the pair is-connected, n ≥ 1 . Then the map induced by the inclusion i : → , is bijective for q < m + n − 2 and is surjective for q = m + n − 2 . A geometric proof is given in a book by Tammo tom Dieck. This result should also be seen as a consequence of the most ge
brand slug:
wiki
category slug:
encyclopedia
description:
Offers a substitute for the absence of excision in homotopy theory
original url:
https://en.wikipedia.org/wiki/Homotopy_excision_theorem
date created:
date modified:
2021-05-11T20:47:59Z
main entity:
{"identifier":"Q17030684","url":"https://www.wikidata.org/entity/Q17030684"}
image:
fields total:
13
integrity:
14