Timeline for Can an injective $f: \Bbb{R}^m \to \Bbb{R}^n$ have a closed graph for $m>n$?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 2, 2018 at 21:42 | vote | accept | Ali Enayat | ||
| Aug 2, 2018 at 21:31 | history | edited | Ali Enayat |
added descriptive set theory tag
|
|
| Aug 2, 2018 at 20:34 | answer | added | Will Brian | timeline score: 20 | |
| Aug 2, 2018 at 17:17 | comment | added | Ali Enayat | @AsafKaragila I forgot to thank you! | |
| Aug 2, 2018 at 17:17 | comment | added | Ali Enayat | Asaf: yes, it indeed is. I fixed Remark 2 to say that a function whose domain and co-domain are both compact Hausdorff spaces and whose graph is closed is continuous. | |
| Aug 2, 2018 at 17:16 | history | edited | Ali Enayat | CC BY-SA 4.0 |
Fixed Remark 2 by adding that the range of f is also a compact Hausdorff space.
|
| Aug 2, 2018 at 17:02 | comment | added | Asaf Karagila♦ | Won't the restriction of $f$ to $[0,1]^m$ be injective and with a closed graph? | |
| Aug 2, 2018 at 16:54 | history | asked | Ali Enayat | CC BY-SA 4.0 |