Timeline for Bilipschitz embedding of the unit ball of $c_0$ into $\ell_1$
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Jan 27, 2023 at 23:15 | comment | added | Bunyamin Sari | @DamianSobota The vectors $x(\vec{n})$ and $x(\vec{m})$ are in the unit sphere. | |
| Jan 27, 2023 at 12:41 | comment | added | Damian Sobota | @BunyaminSari, is the same true if we ask about the unit sphere $S_{c_0}$ instead of the unit ball $B_{c_0}$ (i.e. whether it embeds bilipschitz/uniformly into $\ell_1$)? | |
| Dec 12, 2022 at 17:12 | vote | accept | Damian Sobota | ||
| Dec 5, 2022 at 3:08 | history | edited | Bunyamin Sari | CC BY-SA 4.0 |
typo
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| Dec 5, 2022 at 2:59 | history | edited | Bunyamin Sari | CC BY-SA 4.0 |
typo
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| Dec 5, 2022 at 2:55 | comment | added | Bunyamin Sari | @BillJohnson Added an elementary argument to the answer. | |
| Dec 5, 2022 at 2:51 | history | edited | Bunyamin Sari | CC BY-SA 4.0 |
Added an argument.
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| Dec 4, 2022 at 21:06 | comment | added | Bill Johnson | True, but this is overkill. It is easy to see that if the unit ball of $Y$ bilipschitz embeds into $X$, then $Y$ bilipschitz embeds into $X\oplus R$. Also, the same differentiation proof that $c_0$ does not bilipschitz embed gives that no open subset of $c_0$ bilipschitz embeds. | |
| Dec 1, 2022 at 23:09 | history | answered | Bunyamin Sari | CC BY-SA 4.0 |