Timeline for Why study the p-completions of a space?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 19, 2015 at 3:03 | answer | added | Peter May | timeline score: 22 | |
| Sep 16, 2015 at 11:35 | vote | accept | Tyrone | ||
| Sep 13, 2015 at 19:38 | answer | added | Yonatan Harpaz | timeline score: 26 | |
| Sep 13, 2015 at 16:11 | comment | added | Qiaochu Yuan | maths.ed.ac.uk/~aar/books/gtop.pdf | |
| Sep 13, 2015 at 16:10 | comment | added | Anton Fetisov | I'd say they are easier in the same way as p-adic numbers are much easier than any localization of Z. Not only do you kill all other primes but you can also consider infinite sums and metric effects. This is tricky to define in topology, but let's say you get such structure on relevant homotopy/homology groups and this makes life better. | |
| Sep 13, 2015 at 16:04 | comment | added | user43326 | Let's say that in some cases we can deal with completions more easily than localization, because of the absence of infinitely divisible elements which causes some trouble. For example, we have a good understanding of the mapping space $Map(BZ/p,X)$ if $X$ is $p$-complete, which is not quite the case if we only suppose if $X$ is $p$-local. | |
| Sep 13, 2015 at 15:00 | history | asked | Tyrone | CC BY-SA 3.0 |