Kan-Thurston theorem

id: kan-thurston-theorem-236-8426259
title: Kan-Thurston theorem
text: In mathematics, particularly algebraic topology, the Kan-Thurston theorem associates a discrete group G to every path-connected topological space X in such a way that the group cohomology of G is the same as the cohomology of the space X . The group G might then be regarded as a good approximation to the space X , and consequently the theorem is sometimes interpreted to mean that homotopy theory can be viewed as part of group theory. More precisely, the theorem states that every path-connected t
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original url: https://en.wikipedia.org/wiki/Kan-Thurston_theorem
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date modified: 2023-08-19T03:10:41Z
main entity: {"identifier":"Q96385278","url":"https://www.wikidata.org/entity/Q96385278"}
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