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Results tagged with classifying-spaces
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user 178096
The classifying space BG of a group G classifies principal G-bundles, in that homotopy classes of maps [X, BG] are naturally identified with isomorphism classes of principal G-bundles P ⭢ X.
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Accepted
Group homology and singular homology
Indeed, the answer is given in Eilenberg-MacLane's 1945 paper "Relations between homology and homotopy groups of spaces", as pointed out by Chris Gerig.
- 31
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Group homology and singular homology
It is well-known that the singular homology of the classifying space of a group $G$ is isomorphic to the group homology of $G$ with coefficients in the trivial $G$-module $\mathbb{Z}$, i.e. $H_*(BG,\m …
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