Question

Use the fiber bundle $S^1 \rightarrow S^\infty / \mathbb{Z}_p \rightarrow \mathbb{CP}^\infty$ to compute $H^{*}(K(\mathbb{Z}_p,1);\mathbb{Z}_p)$

score 55 · Answer 1 · 2022-09-15 07:13:05

Use the fiber bundle $S^1 \rightarrow S^\infty / \mathbb{Z}_p \rightarrow \mathbb{CP}^\infty$ to compute $H^{*}(K(\mathbb{Z}_p,1);\mathbb{Z}_p)$

score 40 · Answer 2 · 2026-03-30 22:48:26

40

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score 62 · Answer 3 · 2022-09-28 06:00:44

62

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score 271 · Answer 4 · 2022-10-12 13:50:52

271

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score 235 · Answer 15 · 2026-03-26 23:11:00

235

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When is a principal bundle with group $G \times H$ the product of a principal bundle with group $G$ and one with group $H$?

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List Question

Use the fiber bundle $S^1 \rightarrow S^\infty / \mathbb{Z}_p \rightarrow \mathbb{CP}^\infty$ to compute $H^{*}(K(\mathbb{Z}_p,1);\mathbb{Z}_p)$

Existence and uniqueness of Riemannian manifold from prescribed connection

Can I build fibre bundles over bundles ad infinitum?

If base space of fiber bundle is simply connected then so is the total space?

composition of principal bundles

Relation between Lens spaces and Hopf fibrations

How to find first nontrivial fibration in Whitehead tower of the $n$-sphere?

Intuition behind associated bundles seems natural but I can't see how it's working out "intuitively"!

CW structures compatible with fiber bundle structures

Why are transition maps of principal bundles given by multiplications of elements of the group?

An orientable line bundle is always trivial?

Scalar fields with definite weight under conformal maps as sections of some bundle

Trivialization of the orthonormal frame bundle

Surjectivity of bundle projection

When is a principal bundle with group $G \times H$ the product of a principal bundle with group $G$ and one with group $H$?

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