Timeline for Is there a Wall finiteness obstruction in other settings?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Sep 4, 2013 at 9:34 | comment | added | Sean Tilson | Have you looked at Andy Baker's papers on TAQ? He approaches TAQ by thinking of it as a sort of cellular homology theory (which is an awesome perspective). See the paper by Baker Gilmour and Reinhard first, then the computational approach ones on the arxiv. | |
| Aug 27, 2013 at 23:13 | comment | added | Akhil Mathew | @QiaochuYuan: well, the operation of building up a CW complex via attaching cells is essentially that of forming iterated (finite) homotopy pushouts, and vice versa. (This argument works for the derived category of modules over a ring, too.) | |
| Aug 27, 2013 at 21:55 | comment | added | Qiaochu Yuan | Ah, sorry, by "that" I meant "the smallest subcategory of $S$ containing $\bullet$ and closed under finite homotopy colimits." | |
| Aug 27, 2013 at 13:50 | comment | added | Akhil Mathew | @Qiaochu: Here's a link to Wall's paper: math.uchicago.edu/~shmuel/tom-readings/…. Andrew Ranicki gives more references below. I also blogged about it at one point, see amathew.wordpress.com/2012/09/22/…. | |
| Aug 27, 2013 at 7:22 | answer | added | Andrew Ranicki | timeline score: 6 | |
| Aug 27, 2013 at 6:49 | comment | added | Qiaochu Yuan | That's an intriguing characterization of the finite CW complexes! Do you have a reference for it? | |
| Aug 27, 2013 at 3:42 | history | asked | Akhil Mathew | CC BY-SA 3.0 |