Talk:Product (category theory)

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Mathematics rating: Start Class Mid Priority Field: Foundations, logic, and set theory

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Maybe the 2-element case should go into Discussion? Which should be a bit more articulated, I think. Adandrews 21 Apr 2005

Contents

[edit] Examples

I think the "examples" section is misleading, since it lists things like "in Category C the product is...". It gives the impression that the product is unique, when it should be explicit that it's unique up to isomorphism. Also, I think a negative example should be provided; for example, in the category of fields there ain't no such thing as a product, for example, there's no product of GF(2) and GF(3). Albmont (talk) 19:26, 30 September 2009 (UTC)

[edit] Product functor

The paragraph in "Discussion" about product functor is obscure. The gentle example of a product bifunctor C\times C \to C is omitted. No description how a product functor acts on morphisms. The statement that hom-functor is continuous IMHO should go to the article Limit (category_theory)#Preservation_of_limits. --Beroal (talk) 03:09, 13 October 2010 (UTC)

[edit] Merge with Pullback (category theory)?

Shouldn't this be somehow merged with Pullback (category theory)? --Cokaban (talk) 16:46, 7 March 2011 (UTC)

[edit] Finite product diagram

Is there any particular reason that the diagram for the finite product does not follow the same layout as the binary product? I think the way it is now makes it more confusing at first glance. It would be relatively simple to fix: swap the X and the Y and then rotate the graph around the vertical axis. —Preceding unsigned comment added by 86.173.27.82 (talk) 18:43, 1 April 2011 (UTC)

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