Talk:Dedekind–MacNeille completion
Add topicLatest comment: 15 years ago by Tkuvho in topic self-dual?
 | This article is rated B-class on Wikipedia's content assessment scale. It is of interest to the following WikiProjects: | ||||||||||
| |||||||||||
 | Text or other creative content from this version of Dedekind cut was copied or moved into Dedekind–MacNeille completion with this edit on 21 May 2011. The former page's history now serves to provide attribution for that content in the latter page, and it must not be deleted as long as the latter page exists. |
hyperreals in the Dedekind–MacNeille completion
[edit]It may be worth pointing out that the hyperreals are a (proper) subset of the Dedekind–MacNeille completion of the hyperrationals. Tkuvho (talk) 07:56, 27 May 2011 (UTC)
self-dual?
[edit]It does not seem correct to say that this is self-dual, but rather that it preserves or respects duality. I looked up Birkoff's paper and did not find any mention of "self-dual", but only a mention of "preserving". Tkuvho (talk) 08:05, 27 May 2011 (UTC)
- More accurately, duality respects the completion. Tkuvho (talk) 08:06, 27 May 2011 (UTC)