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Results tagged with fibre-bundles
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user 21095
for questions about fiber bundles, including structure groups, principal bundles, and spaces of sections.
3
votes
Homomorphisms of Topological Groups which are Automatically Fiber Bundles?
The following statement follows from results of Palais (see theorem 2.3.3 in "On the existence of slices for actions of non-compact Lie groups"). When $G$ is a Lie group, any principal $G$-bundle (in …
- 6,210
4
votes
Homotopy Equivalences and Induced Correspondences between Fibre Bundles
Here is a quick argument which proves homotopy equivalence directly. First, the pullback of a homotopy equivalence along a Hurewicz fibration is again a homotopy equivalence. Further, by the well-know …
- 6,210
8
votes
Serre Spectral Sequence of Representations
Personal comment: I feel that the two previous answers may be together creating some confusion on the subject of the question. I wish to address that with my answer, which would be more suited as a co …
- 6,210