Timeline for Can all countable $CAT(0)$ cube complexes be isometrically embedded in $l^1(\mathbb{N},\mathbb{R})$?
Current License: CC BY-SA 4.0
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| when toggle format | what | by | license | comment | |
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| Jan 26, 2019 at 15:56 | comment | added | YCor | Yes it's indeed standard. One reference is my survey arxiv.org/abs/1302.5982 : essentially Corollary 7C5 is the same. I'm not sure of an earliest reference: this was rather often done with unnecessary extra-assumptions such as finiteness assumptions on the complex, or equivariance with respect to a group action with some properties, etc. | |
| Jan 26, 2019 at 15:12 | comment | added | ouimerci | Mmh, that's a nice argument. I assume for vertices $x,y$, $xy$ means the distance from $x$ to $y$ ? Also, is that a standard kind of argument ? | |
| Jan 26, 2019 at 15:04 | vote | accept | ouimerci | ||
| Jan 26, 2019 at 15:02 | history | answered | YCor | CC BY-SA 4.0 |