Timeline for Why is the definition of the higher homotopy groups the "right one"?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Oct 24, 2020 at 20:41 | comment | added | Denis Nardin | Simpler is in the eye of the beholder, but I would argue that computing $H_n(S^n)$ is much easier than $\pi_nS^n$ (that requires some proof of Freudenthal's suspension theorem -- say with Blakers-Massey). In general I find it very hard to argue that Blakers-Massey is a "simpler" result than the Mayer-Vietoris les. | |
| Oct 24, 2020 at 20:06 | comment | added | Benoît Kloeckner | @DenisNardin: sure, but is it obviously simpler? | |
| Oct 24, 2020 at 18:37 | comment | added | Denis Nardin | You can easily prove invariance of domain using homology groups instead... | |
| S Oct 24, 2020 at 18:36 | history | answered | Benoît Kloeckner | CC BY-SA 4.0 | |
| S Oct 24, 2020 at 18:36 | history | made wiki | Post Made Community Wiki by Benoît Kloeckner |