From: Marco Grandis <grandis@dima.unige.it>
To: categories@mta.ca
Subject: Preprint: From cubical to globular higher categories
Date: Wed, 15 Jun 2011 14:00:18 +0200 [thread overview]
Message-ID: <E1QWqYY-0004Rb-Aj@mlist.mta.ca> (raw)
The following preprint is available
M. Grandis - R. Pare
From cubical to globular higher categories
Dip. Mat. Univ. Genova, Preprint 594 (2011).
http://www.dima.unige.it/~grandis/CGlb.pdf
Abstract. We show that a strict symmetric (infinite-dimensional)
cubical category A
has an associated omega-category Glb(A), consisting of its 'globular
cubes'.
The procedure of globularisation generally destroys important
features of A,
like the existence of limits and colimits or the presence of symmetries.
Then we examine the much more complex weak case, up to constructing the
tricategory associated to a weak symmetric 3-cubical category.
Best regards
Marco Grandis
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
reply other threads:[~2011-06-15 12:00 UTC|newest]
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