Subject: question for the discussion list Date: Thu, 4 Apr 2002 16:41:44 +0100 (GMT Daylight Time) From: Andrey Lazarev here's a question for the discussion list: Let I be a category with finitely many objects and and finitely many morphisms and G:I-->Spec a functor from I into the category of spectra. Let X be another spectrum. Then there is a map hocolim F(G(?),X)-->F(holim(G),X). Here F stands for the function spectrum. Question: is it true that this map is a weak equivalence? If not what further restrictions should one put on I ensuring that this is an eqivalence? --------------------------------------- Andrey Lazarev A.Lazarev@bristol.ac.uk Phone +44 117 928 7997 School of Mathematics University of Bristol Bristol BS8 1TW UK ---------------------------------------