Talk:Transversal

See also

https://en.xen.wiki/w/Transversal_generators

- Sintel (talk) 02:23, 21 December 2021 (UTC)

Indeed, this page makes no mention of the second major application of transversals in RTT: transversals of the preimages of generators, per the link Sintel shared above. That should be added to this page, at least as a "See also" link, but probably briefly conceptually introduced as well as linked. I cannot do this myself, though, and neither can Sintel, because we are not admins, and the page along with other mathematically-advanced pages has recently been locked. So would an admin please add something like this for us.

Furthermore, this page defines transversal in general, which is fine. But it is primarily about transversal scales, and at this time, it is the main place where those are defined. For now I've created the page Transversal scale to redirect here. But I suggest one of two possible things should be done next:

1. Option 1: Most of the material from this page should be extracted to turn this new Transversal scale page into a page in its own right, leaving behind here only information that's about transversals in and of themselves (and links out to the two existing applications of them: scales and generators).
2. Option 2: The page about generators preimage transversals should be merged in with this page, and so the resulting page will cover all three topics — transversals in general, scales, and generators.

--Cmloegcmluin (talk) 22:56, 24 January 2022 (UTC)

I still think one of these two options I've presented should be done. I do not have a strong preference between them. --Cmloegcmluin (talk) 19:51, 5 December 2022 (UTC)

Suggested ASCII diagram to illustrate concept

Dave and I have been discussing this topic over email and suggest that it could be a nice idea to supplement the definition of transversal here with a bare-bones illustration of the concept:

          |
{.........|...}
      {...|.........}
   {......|......}
          |

visualizing how a transversal "transverses" a list of sets, sampling one from each. Again, I can't add it to the page myself, since it has been locked recently for only admins to edit. --Cmloegcmluin (talk) 22:57, 24 January 2022 (UTC)

I still think this should be added. --Cmloegcmluin (talk) 19:51, 5 December 2022 (UTC)

I'm just posting here as a reminder to admins about these two requests, in case they all missed them the first time. --Cmloegcmluin (talk) 22:58, 6 May 2023 (UTC)