Timeline for "abstract" description of geometric fixed points functor
Current License: CC BY-SA 3.0
12 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 29, 2014 at 7:46 | vote | accept | Tom Bachmann | ||
| Apr 25, 2014 at 15:15 | answer | added | Tyler Lawson | timeline score: 8 | |
| Apr 25, 2014 at 13:41 | answer | added | Peter May | timeline score: 4 | |
| Apr 25, 2014 at 11:56 | history | edited | Tom Bachmann | CC BY-SA 3.0 |
remove false claim
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| Apr 24, 2014 at 14:30 | comment | added | Tom Bachmann | That's a neat way of looking at it, thanks! I had hoped for something more concrete, though. | |
| Apr 24, 2014 at 14:28 | comment | added | Dylan Wilson | (and monoidality for those follows from the same claim for spaces) | |
| Apr 24, 2014 at 14:27 | comment | added | Dylan Wilson | Well I guess you also need to know it deloops well. Then you'd get monoidality because smashing commutes with hocolims and everything is a hocolim of (deloopings of) suspension spectra. | |
| Apr 24, 2014 at 14:18 | comment | added | Tom Bachmann | Well I think geometric fixed points is a left adjoint, so preserves homotopy colimits, and your (ii) determines it on cells, so (i) and (ii) determine it on all spectra, no? But then monoidality is a bit of a mystery (to me). | |
| Apr 24, 2014 at 14:13 | comment | added | Dylan Wilson | Ah, I may have to add monoidality... I haven't thought about it. | |
| Apr 24, 2014 at 14:08 | comment | added | Dylan Wilson | I don't know if this is right, so I'll leave it as a comment. But my guess is that it is characterized by the properties: (i) it preserves homotopy colimits, and (ii) it makes the diagram commute between G-spaces, spaces, G-spectra, and spectra- i.e. geometric fixed points of a suspension spectrum are suspension spectra of geometric fixed points | |
| Apr 24, 2014 at 13:41 | history | edited | Tom Bachmann | CC BY-SA 3.0 |
small notational improvement
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| Apr 24, 2014 at 11:48 | history | asked | Tom Bachmann | CC BY-SA 3.0 |