Timeline for Classifying spaces and Brown's representability theorem
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 9, 2017 at 7:42 | vote | accept | ychemama | ||
| Nov 8, 2017 at 19:06 | answer | added | Denis Nardin | timeline score: 10 | |
| Nov 8, 2017 at 17:43 | comment | added | Denis Nardin | No. that is definitely false. Have you tried to read Brown's original paper? It does the case of principal bundles in section 5.1 (the trick is to classify principal bundles with a chosen basepoint). If you prefer I can try to write down an answer after dinner. | |
| Nov 8, 2017 at 14:21 | comment | added | ychemama | OK but does $[X,Y]_{hTop_*} = [X,Y]_{hTop}$ ? i.e. is there in each homotopy class of applications $X \to Y$ an application préserving base points ? Not obvious... | |
| Nov 8, 2017 at 11:43 | comment | added | Denis Nardin | Connected pointed topological spaces/CW complexes are a full subcategory. For principal fibrations/bundles you can classify them one connected component at a time... | |
| Nov 8, 2017 at 11:16 | history | asked | ychemama | CC BY-SA 3.0 |