alg-geom daily 9708010 received (over 1354 served) 976

alg-geom daily 9708010 received (over 1354 served) 976

[categories]

Date: Fri, 8 Aug 1997 08:27:18 -0400 (EDT)
From: James Stasheff <jds@math.upenn.edu>

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	Until August 10, 1998, I am on leave from UNC 
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	 Jim Stasheff		jds@math.upenn.edu

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Subject: alg-geom daily 9708010 received  (over 1354 served) 976

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\\
Paper: alg-geom/9708010
From: carlos@picard.ups-tlse.fr (Carlos Simpson)
Date: Thu, 7 Aug 1997 16:31:55 +0000   (59kb)

Title: Limits in $n$-categories
Author: Carlos Simpson (CNRS, Universit\'e Paul Sabatier, Toulouse, France)
Notes: Approximately 90 pages
\\
  We define notions of direct and inverse limits in an $n$-category. We prove
that the $n+1$-category $nCAT'$ of fibrant $n$-categories admits direct and
inverse limits. At the end we speculate (without proofs) on some applications
of the notion of limit, including homotopy fiber product and homotopy coproduct
for $n$-categories, the notion of $n$-stack, representable functors, and
finally on a somewhat different note, a notion of relative Malcev completion of
the higher homotopy at a representation of the fundamental group.
\\ ( alg-geom/9708010 ,  59kb)
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The most recent addition to the conference page, at

  http://eprints.math.duke.edu/conferences/alg-geom.html

is an announcement of the Opening Workshop of the Symplectic Geometry Year 
1997/98, to be held at the University of Warwick, 1-12 September 1997.  


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