Timeline for The image of the J-homomorphism of the tangent bundle of the sphere
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Jun 13, 2023 at 10:01 | comment | added | Gregory Arone | The accepted answer of This question gives an argument for the connectivity of this map. | |
| Jun 12, 2023 at 20:51 | comment | added | Tom Goodwillie | You can get it from the James model and the Blakers-Massey triad connectivity theorem (a.k.a. homotopy excision), and I suppose that someone did so about 75 years ago, but I don't have a reference. You can also prove it using functor calculus (maybe Weiss's orthogonal calculus). There is also an indirect proof using surgery theory! | |
| Jun 12, 2023 at 20:03 | comment | added | João Lobo Fernandes | Great answer. Just a question: is there a reference for the connectivity of the map that you mentioned? | |
| Jun 12, 2023 at 12:51 | history | answered | Tom Goodwillie | CC BY-SA 4.0 |