Talk:Limit (category theory)

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I'm wondering if it would be better to separate out the stuff on colimits. In fact I've already started a colimit page. That way there would be more space to discuss the special cases such as products, equalisers and pushouts (and their duals on the colimit) page. Magnus 17:50 Apr 16, 2003 (UTC)


I think this article needs examples and motivations for the definitions instead of simply giving them out of the blue. Phys 18:08, 1 Sep 2003 (UTC)

Indeed! It also should include pointers to the most prominent limits/colimits and be more detailed and structured. Maybe I add something soon... -- Markus 25/11/2003

Done. But one may still think about a "motivations" section... --Markus 26/11/2003

[edit] limits in topology versus limits in category theory

Is there a way that you can interpret the limit of a sequence in a topological space as a limit of some appropriate functor between some categories? -Lethe | Talk 23:16, 8 October 2005 (UTC)

One would have to understand a topological space as a category. I don't have any good idea for this... -David 12/02/2006

[edit] Cones as natural transformations

Did you know cone may be views as natural transformations. It could be quite cool to explain limits with that point of view ? -David 12/02/2006

I've been meaning to incorporate that. I had stated some (minimal) notes at User:Fropuff/Draft 4. There is some more material at Universal morphism#Limits and colimits. -- Fropuff 20:18, 12 February 2006 (UTC)