Timeline for Technology for various models of spectra
Current License: CC BY-SA 2.5
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 14 at 11:10 | history | protected | CommunityBot | ||
| Dec 16, 2013 at 17:31 | vote | accept | Sean Tilson | ||
| Dec 12, 2013 at 18:44 | answer | added | Peter May | timeline score: 6 | |
| Dec 17, 2010 at 23:03 | comment | added | Lennart Meier | There's much technology on symmetric spectra in Schwede's math.uni-bonn.de/~schwede/SymSpec.pdf . OK, there are no spectral sequences in it, but there is a whole bunch of constructions. | |
| Dec 15, 2010 at 19:35 | comment | added | Sean Tilson | Thanks for the suggestion. I spent some time talking with Bob, and he said roughly what you did above about it not making too much of a difference. | |
| Dec 15, 2010 at 13:27 | comment | added | Tyler Lawson | I think that lots of computations occur in different models, in fact. You might try looking at the Goerss-Hopkins paper "Moduli spaces of commutative ring spectra," where the first chapter gives a lengthy description of what conditions they really need in order to carry out their work and how various different models satisfy them. | |
| Dec 15, 2010 at 3:00 | history | edited | Sean Tilson | CC BY-SA 2.5 |
added 480 characters in body
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| Dec 15, 2010 at 2:54 | comment | added | Sean Tilson | In EKMM they go through the construction of some basic hypercohomology spectral sequences. Can I just mimic such constructions in with the other models of spectra? My initial reaction is no, there seem to be a lot of hypothesis as to things being cellular and the like. Maybe such notions in the other models are simple. Certainly I would accept an answer saying "You can mimic pretty much all of the homological algebra chapter in EKMM in settings X,Y, and Z." I was under the impression that people dont compute with the other models, and I suppose I am looking for others "opinions." | |
| Dec 15, 2010 at 2:33 | comment | added | Tyler Lawson | I'm unclear what you mean by "developed notions of spectral sequences". What kinds of spectral sequences are you interested in that aren't lifted from some notion in the homotopy category of spectra (which is, by definition of "equivalent", independent of model)? | |
| Dec 15, 2010 at 1:21 | history | asked | Sean Tilson | CC BY-SA 2.5 |