Eilenberg–Ganea theorem
id:
eilenberg-ganea-theorem-243-18242901
title:
Eilenberg–Ganea theorem
text:
In mathematics, particularly in homological algebra and algebraic topology, the Eilenberg–Ganea theorem states for every finitely generated group G with certain conditions on its cohomological dimension, one can construct an aspherical CW complex X of dimension n whose fundamental group is G. The theorem is named after Polish mathematician Samuel Eilenberg and Romanian mathematician Tudor Ganea. The theorem was first published in a short paper in 1957 in the Annals of Mathematics.
brand slug:
wiki
category slug:
encyclopedia
description:
On constructing an aspherical CW complex whose fundamental group is a given group
original url:
https://en.wikipedia.org/wiki/Eilenberg%E2%80%93Ganea_theorem
date created:
date modified:
2023-07-31T16:16:20Z
main entity:
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image:
fields total:
13
integrity:
14