User whatev - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-23T02:40:57Z http://mathoverflow.net/feeds/user/2637 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/9134/arbitrary-products-of-schemes-dont-exist-do-they/9142#9142 Answer by whatev for Arbitrary products of schemes don't exist, do they? whatev 2009-12-17T01:16:54Z 2009-12-17T01:16:54Z <p>looks ok to me. and in a sense, ega does have this result: in any category, arbitrary limits can be made from fiber products and filtered limits (and the terminal object i guess, but let's forget about that), and in the category of schemes fiber products always exist and filtered limits exist when the transition maps are affine.</p> http://mathoverflow.net/questions/9134/arbitrary-products-of-schemes-dont-exist-do-they/9142#9142 Comment by whatev whatev 2009-12-17T01:18:23Z 2009-12-17T01:18:23Z oh yeah, but this doesn't address the question of arbitrary products of arbitrary (non-affine) schemes. i don't see why those would exist.