Timeline for Explicit formula for embedding Cayley graph of free group into hyperbolic space
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 25, 2022 at 18:04 | comment | added | Sam Nead | The embedding is not isometric, and no such embedding exists. I've added a remark to this effect. | |
| Mar 25, 2022 at 18:03 | history | edited | Sam Nead | CC BY-SA 4.0 |
added 353 characters in body
|
| Mar 25, 2022 at 14:22 | vote | accept | Dmitry Vilensky | ||
| Mar 25, 2022 at 4:47 | comment | added | Dmitry Vilensky | Thanks for the answer! I don't see if this embedding is isometric - only the isometric embeddings that are interesting for me. For neighboring vertices, everything seems to be fine here, but are the distances to non-neighbors preserved? This requirement led me to write about the uniqueness of the embedding. | |
| Mar 24, 2022 at 19:59 | comment | added | Steven Stadnicki | (And the proof that they generate the free group is probably the canonical example of the Ping-pong lemma. ) | |
| Mar 24, 2022 at 19:36 | history | answered | Sam Nead | CC BY-SA 4.0 |