Timeline for Postnikov tower for $S^2$
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 19, 2020 at 17:51 | vote | accept | CNS709 | ||
| Jan 18, 2020 at 20:08 | history | edited | CNS709 | CC BY-SA 4.0 |
added 92 characters in body
|
| Jan 18, 2020 at 20:05 | comment | added | CNS709 | @PeterMay math.ru.nl/~mgroth/teaching/htpy13/Section11.pdf | |
| Jan 18, 2020 at 20:04 | comment | added | CNS709 | @GustavoGranja math.ru.nl/~mgroth/teaching/htpy13/Section11.pdf | |
| Jan 18, 2020 at 20:01 | comment | added | Peter May | @Gustavo, right you are, but we (or at least I) don't have access to Lemma 2 in the source: the question has two answers, depending on that. Of course, rectification of this first step to a Postnikov tower is where the real math lies either way. | |
| Jan 18, 2020 at 17:40 | comment | added | Gustavo Granja | I suppose that in the construction of the spaces $Y_n^{(k)}$ you don't just attach cells for a set of generators of the homotopy group in question but rather attach a cell for each continuous map from $S^{k}$ to $Y_n^{(k-1)}$. This is the canonical thing to do (it is functorial as it involves no choices). With this construction it is indeed true that $Y_{n+1}$ is contained in $Y_n$ for the reason given. | |
| Jan 18, 2020 at 15:31 | answer | added | Peter May | timeline score: 7 | |
| Jan 18, 2020 at 15:30 | history | edited | CNS709 | CC BY-SA 4.0 |
added 36 characters in body
|
| Jan 18, 2020 at 13:55 | review | Close votes | |||
| Jan 23, 2020 at 3:05 | |||||
| Jan 18, 2020 at 13:06 | history | asked | CNS709 | CC BY-SA 4.0 |