Definition talk:Indexing Set/Function
This is indexed family—maybe it should be pointed out here or there that there also exist generic families, especially that Definition:Family redirect here… (They are images of $x$ used in definitions; this way "family" is just different name for "set", e.g. "family of sets" or "family of lines" instead of "set of sets" or "set of lines" etc.) joel talk 17:37, 29 December 2012 (UTC)
- As used on this website, "Family" is used exclusively as in this context. There is never a need to use a synonym for "set" when one is talking about a "set"; however, many silly authors believe that e.g. "set of sets" is bad english.
- There are words on the Definition:Set page (which reminds me, they need to be put into an "Also known as" section) saying this. --prime mover (talk) 17:43, 29 December 2012 (UTC)
- There may be a case for increasing the number of disambiguation pages, but it's not high (if it even appears) on the list of site-structural improvements that could be made. What we're really craving for is more definitions, proofs and areas of research to be covered - and you may consider that a hint :). --Lord_Farin (talk) 18:55, 29 December 2012 (UTC)
Slight change of direction
As according to Munkres: this page has changed from Definition:Indexing Set/Family to Definition:Indexing Set/Function, as the term "Family" is to apply to the domain of the mapping along with the mapping itself. Thus Definition:Family of Indexed Sets is to be renamed to Definition:Indexing Set/Family, leaving the original page as a redirect. This should clear up some of the terminological confusion. --prime mover (talk) 20:47, 24 April 2015 (UTC)