Timeline for Kan condition in simplicial homotopy theory
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 6, 2017 at 15:16 | answer | added | Tim Porter | timeline score: 4 | |
| Aug 5, 2014 at 7:42 | answer | added | Zhen Lin | timeline score: 12 | |
| Aug 5, 2014 at 3:08 | comment | added | David White | In some sense the whole point of a model structure is to get your hands on the maps in the homotopy category and characterize them in some way. You could define the homotopy category of simplicial sets and of CW complexes without mention of model structure at all, but then it would be hard to work in that setting due to the lack of a model structure. So I view the need for cofibrant and fibrant replacement (which is where Kan complexes come in) as less about defining the homotopy category or proving it's equivalent to that of CW complexes, and more about getting hold of the maps. | |
| Aug 5, 2014 at 2:48 | review | First posts | |||
| Aug 5, 2014 at 3:16 | |||||
| Aug 5, 2014 at 2:47 | history | asked | KylinChen | CC BY-SA 3.0 |