Talk:Greatest element and least element
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It seems that the extreme value article is very close to greatest element. (User:209.90.162.85 forgot to sign.)
- Yes, there is some intersection. I think the two articles look at things from a bit different perspectives though, but I am not sure. Let us see if a specialist in order theory would be willing to do some merging from extreme value to to greatest element. For now, I just put a link from the former to the latter article. Oleg Alexandrov 00:27, 20 Mar 2005 (UTC)
Rename article?
[edit]The article is called "greatest element", but it talks as much about the greatest element as it does about the least element. (Naturally, as they are duals.) I propose to rename the article to "greatest and least element". (Or maybe even to "greatest and least element of a partially ordered set"?) — Tobias Bergemann 23:04, 16 December 2005 (UTC)
Move discussion in progress
[edit]There is a move discussion in progress on Talk:Upper and lower bounds which affects this page. Please participate on that page and not in this talk page section. Thank you. —RMCD bot 20:14, 12 September 2017 (UTC)
Confusion
[edit]It is confusing that the intro speaks of a poset, and the definition of a preorderd set.Madyno (talk) 08:26, 12 April 2022 (UTC)
- The definition is slightly more general. The special case of a partial order is handled in its 3rd paragraph. I added an "even" to emphasize the special/general relation between both cases. In the lead, I think it is ok to mention just the partial-order case since it is best known. - Jochen Burghardt (talk) 15:39, 12 April 2022 (UTC)
Add mention to well-ordering
[edit]Should a mention to the well-ordering relation be made since the subject of this article (specifically a least element) is what makes a well-order from a total order? Oneequalsequalsone (talk) 13:01, 2 June 2024 (UTC)
- I consider this a good idea. For now, I just added an annotated link under "See also". - Jochen Burghardt (talk) 17:46, 2 June 2024 (UTC)