most recent 30 from http://mathoverflow.net 2013-05-21T14:47:05Z http://mathoverflow.net/feeds/question/22948 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/22948/topological-limit-and-categorical-limit-of-a-sequence-of-morphisms Qfwfq 2010-04-29T06:32:42Z 2010-04-29T06:32:42Z

<p>I'm wandering if in a category internal to Top (not just enriched over Top), given a sequence of morphisms that forms a direct (inverse) system, the topological limit of the sequence of morphisms coincides, in some sense (perhaps after quotienting in some way by the equivalence relation induced by the notion "being isomorphic"), with the limit of the system in the categorical sense. </p> <p>This question (if it makes sense at all), seems quite similar to others already appeared on MO, but I hope it is sufficiently different not to be considered a mere duplicate.</p>