Timeline for Comonadicity of spaces over spectra?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Jun 11, 2019 at 0:38 | answer | added | Tim Campion | timeline score: 7 | |
| Apr 19, 2018 at 2:28 | comment | added | Simon Henry | Right, it cannot be comonadic simply because $\Sigma^{\infty}$ is not conservative. so together with Blomquist & Harper results I think this answer my question. thanks | |
| Apr 18, 2018 at 22:07 | history | edited | David White | CC BY-SA 3.0 |
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| Apr 18, 2018 at 19:10 | comment | added | Tim Campion | With the 1-connected restriction, I think comonadicity is a result of Blomquist and Harper. | |
| Apr 18, 2018 at 18:51 | comment | added | Dylan Wilson | whoops- made a silly comment then edited it, but: You need to at least restrict to something like simply connected spaces to have hope, otherwise equivalences are not detected stably | |
| Apr 18, 2018 at 18:49 | comment | added | Dylan Wilson | Something like this is true rationally, since unstable rational homotopy types are some extra structure on a rational vector space. More generally, there is an analogous statement "v_n-periodicially". Here are two references: www3.nd.edu/~mbehren1/papers/BKTAQ8.pdf, arxiv.org/pdf/1803.06325v1.pdf | |
| Apr 18, 2018 at 18:41 | history | asked | Simon Henry | CC BY-SA 3.0 |