Timeline for What is the usual topology of $C^\infty_c(M) $
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 21, 2019 at 2:22 | comment | added | user131781 | Even complete (L. Schwartz). | |
| Dec 20, 2017 at 20:24 | comment | added | paul garrett | The (strict) colimit topology also has the benefit of making $C^\infty_c(M)$ quasi-complete (a.k.a., locally complete). | |
| Dec 20, 2017 at 9:20 | comment | added | Jesús Álvarez | I agree with this answer, of course. I only want to remark that, in the book "Differential Topology" (by Morris W. Hirsch), the term Whitney topology is used for the strong $C^\infty$ topology, and you are using the weak $C^\infty$ topology. | |
| Aug 3, 2012 at 5:03 | vote | accept | Adterram | ||
| Apr 27, 2012 at 17:28 | history | answered | John Pardon | CC BY-SA 3.0 |