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?
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Andrey Lazarev
A.Lazarev@bristol.ac.uk
Phone +44 117 928 7997
School of Mathematics
University of Bristol
Bristol BS8 1TW UK
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