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Results tagged with at.algebraic-topology
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user 112875
Homotopy theory, homological algebra, algebraic treatments of manifolds.
1
vote
1
answer
581
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Bijection homotopy class of maps and homomorphisms of fundamental group
I was told there was a bijection between $[X;BG]$, the set of homotopy types of maps from a topological space $X$ to the classifying space $BG$, and the set of group homomorphisms $Hom(\pi_1 (X), G)$. …
- 59
3
votes
1
answer
294
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Compatibility of Definitions of Universal G-bundles
In the book Fibre Bundles by Husemoller, universal G-bundles are introduced as bundles over a homotopy type $BG$, for which the cofunctor $[-,BG]\rightarrow k_G(-)$ is a natural isomorphism.
Contrar …
- 59