Timeline for The closure of the set of injective continuous functions
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 11, 2021 at 9:37 | history | edited | KP Hart | CC BY-SA 4.0 |
added 6 characters in body
|
| Sep 25, 2021 at 16:38 | comment | added | KP Hart | A more tentative argument for the inequality $m^*\ge2m+1$: the union of all $n$-dimensional faces of a $2n$-simplex cannot be embedded in to $\mathbb{R}^{2n}$ (Flores, 1935, see Exercise 1.11.H in Engelkings Theory of Dimensions. Finite and Infinite). In case $n=1$ you get the complete graph $K_5$. If you draw that in the plane as a pentagram in a circle and if you parametrize that, say with a map of period $10$ then no map close enough to that parametrization is injective (hence $1^*\ge3$). I would expect that something similar can be done for larger $n$. | |
| S Sep 24, 2021 at 9:59 | history | suggested | ABIM | CC BY-SA 4.0 |
Fixed link :)
|
| Sep 24, 2021 at 8:33 | review | Suggested edits | |||
| S Sep 24, 2021 at 9:59 | |||||
| Sep 24, 2021 at 8:31 | comment | added | ABIM | Thanks this is very interesting and basically exactly what I had hoped for! :) | |
| Sep 24, 2021 at 8:30 | vote | accept | ABIM | ||
| Sep 24, 2021 at 8:23 | history | edited | KP Hart | CC BY-SA 4.0 |
added 10 characters in body
|
| Sep 23, 2021 at 20:06 | history | answered | KP Hart | CC BY-SA 4.0 |