Timeline for Intuition - difference between Moore spectrum and Eilenberg-Mac Lane spectrum
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 2, 2019 at 19:40 | comment | added | Sasha | @EricPeterson: Thank you! I will have to think about it. | |
| Feb 2, 2019 at 19:39 | vote | accept | Sasha | ||
| Feb 2, 2019 at 13:26 | comment | added | Eric Peterson | Denis's answer is 100% the reason why the specific object S/p appears in the theory of localization. You could still ask whether you could use HZ/p, and here the answer is somewhat unintuitive: for connective spectra, localization at S/p and at HZ/p agree, and so you cannot tell the difference before passing to nonconnective spectra, which are somewhat exotic objects. The spectrum $KU := \Sigma^\infty_+ \mathbb CP^\infty[\beta^{-1}]$ is a concrete example of a spectrum with $H_*(KU; Z)$ rational, hence $H_*(KU; Z/p)$ and $L_{HZ/p} KU$ null, but $L_{S/p} KU$ nontrivial. | |
| Feb 2, 2019 at 11:07 | answer | added | Denis Nardin | timeline score: 7 | |
| Feb 2, 2019 at 8:38 | history | asked | Sasha | CC BY-SA 4.0 |