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Results tagged with classifying-spaces
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user 50846
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.
7
votes
Group cohomology version of Deligne-Beilinson cohomology
Note that Deligne-Beilinson cohomology is not really a "topological cohomology" generalization of de Rham cohomology, it depends on additional analytic structure. So one would expect that some additio …
- 17.4k
37
votes
Accepted
$H^4(BG,\mathbb Z)$ torsion free for $G$ a connected Lie group
I try to give an argument without spectral sequences, not sure if this can be considered non-computational though. At least, there is a non-computational syllabus: torsion classes in $H^4(BG,\mathbb{Z …
- 17.4k