Timeline for Extending a metric in a bi-Lipschitz way
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 2, 2022 at 10:58 | vote | accept | an_ordinary_mathematician | ||
| Sep 30, 2022 at 10:36 | comment | added | YCor | (My previous comment justifies that $d'$ extends $d$ on $Y\times Y$.) | |
| Sep 30, 2022 at 9:48 | comment | added | YCor | @MattF. Yes it does. If $x,x'\in Y$, then $D(x,x')\ge \delta(x,x')$ (first using $d\ge \delta$, then using the triangle inequality). Since $d\ge\delta$ it follows that $d'\ge\delta$ on $Y\times Y$. The other inequality is clear by choosing $y=x$, $y'=x'$. | |
| Sep 28, 2022 at 8:22 | history | edited | YCor | CC BY-SA 4.0 |
fixed typo
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| Sep 27, 2022 at 14:14 | history | answered | YCor | CC BY-SA 4.0 |