Definition talk:Closure Operator/Power Set

The reason those other pages don't have links is that this one doesn't really. "increasing" is only with respect to the subset relation, which isn't explained. I don't know the general sense of "extensive"...--Dfeuer (talk) 12:29, 26 February 2013 (UTC)

Perhaps Definition:Inflationary Mapping is of use? — Lord_Farin (talk) 12:49, 26 February 2013 (UTC)

That seems to work for the extensive bit. I don't think "order-preserving" is better than "increasing". Neither of them specifies the ordering. --Dfeuer (talk) 13:19, 26 February 2013 (UTC)

I consider "order-preserving" more suggestive than "increasing". People can come up with what the ordering intended is themselves (hopefully). Where did you get "extensive" from? If it's a proper source that needs to be added to Definition:Inflationary Mapping. — Lord_Farin (talk) 13:22, 26 February 2013 (UTC)

That was here before I was. Wikipedia also uses that term for this, but also doesn't define it. --Dfeuer (talk) 13:36, 26 February 2013 (UTC)

Ok, then I suggest we stick with "inflationary". — Lord_Farin (talk) 13:48, 26 February 2013 (UTC)