Timeline for origin of spectral sequences in algebraic topology
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 3, 2014 at 14:11 | comment | added | Peter May | And sometimes just there in plain sight, as the Bockstein ss exact couple is. Their low level nature is a great virtue and convenience. For example, by far the best high level study of convergence, Boardman's ``Conditionally convergent spectral sequences'' starts from exact couples. | |
| Feb 3, 2014 at 11:10 | comment | added | Tom Bachmann | Although I suppose what I should take from the other answers as to where the couple comes from is "mostly some kind of filtration, sometimes ingenuity"... | |
| Feb 3, 2014 at 9:43 | comment | added | Tom Bachmann | I'm aware of the theory of exact couples (to some extent at least), but I feel that they are "too low level" to think about effectively (perhaps that's just me, and perhaps I'll just have to get used to this in topology). Namely an exact couple is a good way of constructing a spectral sequence, but raises the (essentially equivalent) question: where does the couple come from? | |
| Feb 3, 2014 at 4:27 | comment | added | Peter May | Right Tom, maybe we are just too old (or at least I am:) | |
| Feb 3, 2014 at 3:32 | comment | added | Tom Goodwillie | I almost mentioned exact couples, Peter. In fact, I almost wrote an answer beginning "Have exact couples gone out of fashion?" | |
| Feb 2, 2014 at 20:40 | history | answered | Peter May | CC BY-SA 3.0 |