Timeline for classifying space of orthogonal groups
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 21, 2015 at 14:53 | vote | accept | Shiquan Ren | ||
| Nov 19, 2015 at 5:00 | vote | accept | Shiquan Ren | ||
| Nov 21, 2015 at 14:51 | |||||
| Nov 18, 2015 at 6:10 | history | edited | Qiaochu Yuan | CC BY-SA 3.0 |
added 50 characters in body
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| Nov 18, 2015 at 6:10 | comment | added | Qiaochu Yuan | @Peter: yes, I guess "zeroth space" is a better term. I'll edit. | |
| Nov 18, 2015 at 5:49 | comment | added | user51223 | May I add that this is related to (real) Bott periodicity, which describes the `additive' delooping of $\mathbb{Z}\times BO$, and hence its base point component $BO$. In fact $\mathbb{Z}\times BO$ is a ring space, as studies by May (together with Quinn, Ray and Tornehave) and the other (infinite) lopp space structure comes from tensor product of vector bundles. Please correct me if I am wrong, but I think, Bott's work has appeared before the machinery for stable homotopy and spectra, as we know today, was established, and later on it was interpreted in the language of stable homtopy theory. | |
| Nov 18, 2015 at 4:30 | comment | added | Peter May | Details: a spectrum does not have an ``underlying space'', but it does have a zeroth space, which is an infinite loop space, and the zeroth space of the spectrum representing real K-theory is BO \times Z, not BO; otherwise the answer is on the mark. | |
| Nov 18, 2015 at 3:20 | history | answered | Qiaochu Yuan | CC BY-SA 3.0 |