Timeline for Approximation of classifying space BG of compact Lie group G by finite CW complexes
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 1, 2019 at 12:33 | comment | added | Communicative Algebra | The reason I was looking at Segal's fat realization was that I thought the usual geometric realisation of a simplicial topological space could take me outside of the category of CW complexes altogether. Are you saying that if I start with a simplicial space that is termwise an actual CW complex (and not just a space of this homotopy type), then it is evident that the successive stages of the geometric realization are still (homotopy equivalent to?) CW complexes? | |
| Oct 31, 2019 at 1:50 | comment | added | Peter May | I agree with David, and it should be clear that the simplicial construction works, using the standard simplicial filtration. | |
| Oct 30, 2019 at 21:13 | answer | added | Qayum Khan | timeline score: 6 | |
| Feb 20, 2019 at 10:18 | comment | added | David Roberts♦ | If you're looking at Lie groups, then you might as well use ordinary (not fat) geometric realisation to start with. | |
| Feb 20, 2019 at 9:44 | history | asked | Communicative Algebra | CC BY-SA 4.0 |