Timeline for Fibrant-cofibrant models of Eilenberg-MacLane spectra
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Sep 11, 2015 at 22:10 | vote | accept | Martin Frankland | ||
| Sep 11, 2015 at 18:46 | answer | added | Marc Stephan | timeline score: 12 | |
| Sep 11, 2015 at 15:56 | comment | added | Martin Frankland | Hi David, Thanks for the ideas and references. In my case, the monoidal structure is the Cartesian product as opposed to the smash product, which would be something unusual to look at, but still doable. From your references, I also looked at Schwede's Stable homotopical algebra and $\Gamma$-spaces, which might do the trick. I'm dealing with connective spectra, so I can work in $\Gamma$-spaces. Moreover, $HA$ is fibrant in the stable $Q$-model structure. I need to think some more about cofibrancy though. | |
| Sep 11, 2015 at 12:50 | comment | added | David White | Hi Martin. I tend to agree that cofibrant replacement in Symmetric Spectra would mess up the group structure, but what about taking cofibrant replacement in the category of monoids? Schwede-Shipley Algebras and Modules give conditions so that bifibrant monoids forget to bifibrant objects, and the condition holds for symmetric spectra (as is shown in Mandell-May-Schwede-Shipley). Alternately, you could try to put a model structure on the category of group objects and do cofibrant replacement there, but I've never done so. | |
| Sep 11, 2015 at 4:01 | history | edited | Martin Frankland |
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| Sep 11, 2015 at 1:01 | history | asked | Martin Frankland | CC BY-SA 3.0 |