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Results tagged with fibration
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user 43054
For questions about or involving fibrations which are maps which satisfy the homotopy lifting property for all spaces.
6
votes
What does it mean to speak of a homotopy fibration sequence?
I cannot answer more precisely without knowing which paper you are referring to. However the point seems to be that you want to characterize the space $Z_f$. In fact there are plenty of spaces $W$ wit …
- 16.5k
6
votes
Accepted
Action of fundamental group on homotopy fiber
Both maps are homotopy equivalences (this requires some proof, but it's not terribily hard: they're both trivial fibrations when $f$ is a fibration), and so you can define the map in the homotopy category …
- 16.5k
6
votes
A fibration of classifying spaces
By functoriality there is a map $BG\to B(G/N)$. Let $X$ to be its homotopy fiber. Then you can get a fiber sequence
$\Omega X \to G \to G/N \to X \to BG \to B(G/N)$
using the fact that $\Omega BG = …
- 16.5k