Timeline for What is this analogy between manifolds and bundles (or schemes and locally free sheaves)?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Apr 1, 2017 at 10:08 | comment | added | მამუკა ჯიბლაძე | Concerning 5. - this is almost exactly the synthetic differential geometry approach | |
| Apr 1, 2017 at 6:42 | answer | added | Daniel Grady | timeline score: 2 | |
| Apr 1, 2017 at 4:46 | comment | added | Ryan Budney | Manifolds are spaces that are locally trivial (technically, Euclidean). Bundles are maps that are locally trivial (technically, projections from products to a factor). You forgot one more key analogy. Manifolds embed in euclidean space. Bundles have classifying maps -- meaning you can think of the manifold and all the fibres in Euclidean space. The proofs are pretty much the same. | |
| Apr 1, 2017 at 4:30 | answer | added | Artur Jackson | timeline score: 5 | |
| Sep 29, 2016 at 1:50 | history | asked | Tim Campion | CC BY-SA 3.0 |