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Results tagged with classifying-spaces
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user 1993
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.
42
votes
5
answers
2k
views
How are the classifying space of $E_8$ and $K(\mathbb{Z},4)$ related?
I recently heard the following fact :
Up to the $15$th skeleton, the classifying space $BE_8$ and $K(\mathbb{Z},4)$ are homotopy equivalent?
I have two questions on this :
(1) Is there any easy way …
- 3,423
12
votes
3
answers
1k
views
Geometric models for classifying spaces of a group
For any given topological group $G$ we have Segal's construction/definition of $BG$. I'm recalling it in case the details turn out to be relevant.
Form the disjoint union of $G^n\times\Delta_n$ f …
- 3,423