Talk:Direct limit

From Wikipedia, the free encyclopedia

Mathematics Portal This article is within the scope of WikiProject Mathematics, which collaborates on articles related to mathematics.
Mathematics rating:	Start Class	Mid Priority	Field: Foundations, logic, and set theory
Please update this rating as the article progresses, or if the rating is inaccurate. Click to show/hide comments. Please add to or update the comments to suggest improvements to the article. Geometry guy 15:37, 10 June 2007 (UTC)

I would suggest to rewrite this article. IMHO it should be pointed out that a direct limit is a colimit and, that in the particular case of a direct limit of ab. groups etc. it can be calculated as written. Do you agree? Jakob.scholbach 19:25, 23 February 2007 (UTC)

Actually, I prefer the reverse approach which is presented here, mostly because it is more accessible. Chances are someone seeing direct limits for the first time will encounter them in an algebraic setting. They may not even be familiar with category theory let alone colimits. In fact, understanding the algebraic definition of a colimit and then generalizing to categories is a good motivation for the very general definition of a colimit. -- Fropuff 22:50, 23 February 2007 (UTC)