From: David Roberts <droberts@maths.adelaide.edu.au>
To: categories <categories@mta.ca>
Subject: classifying functor and colimits
Date: Thu, 24 Aug 2006 15:29:15 +0930 [thread overview]
Message-ID: <E1GHAK1-0003PV-Lu@mailserv.mta.ca> (raw)
Dear category theorists,
I have been plagued by the following question: does the classifying
space functor commute with (co)limits?
In particular, I have a system of compact topological groups G_i
indexed by the natural numbers, and a whole lot of inclusions.
Is B colim G_i homotopic to colim BG_i ?
I have a hint that this should be so in my particular situation (in a
letter of Serre to Grothendieck), but I'd like to know how the
general case goes.
Cheers,
------------------------------------------------------------------------
--
David Roberts
School of Mathematical Sciences
University of Adelaide SA 5005
------------------------------------------------------------------------
--
droberts@maths.adelaide.edu.au
www.maths.adelaide.edu.au/~droberts
www.trf.org.au
next reply other threads:[~2006-08-24 5:59 UTC|newest]
Thread overview: 3+ messages / expand[flat|nested] mbox.gz Atom feed top
2006-08-24 5:59 David Roberts [this message]
2006-08-28 12:45 Tom Leinster
2006-08-28 21:45 Stephen Lack
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