From: categories <cat-dist@mta.ca>
To: categories <categories@mta.ca>
Subject: Limits in double categories, preprint
Date: Thu, 13 Nov 1997 15:56:57 -0400 (AST) [thread overview]
Message-ID: <Pine.OSF.3.90.971113155641.1098G-100000@mailserv.mta.ca> (raw)
Date: Wed, 12 Nov 1997 19:34:32 +0100
From: Marco Grandis <grandis@dima.unige.it>
The following preprint is available:
Limits in double categories
by Marco Grandis and Robert Pare
Abstract. We define the notion of (horizontal) double limit for a double
functor F: I -> A between double categories, and we give a construction
theorem for such limits, from double products, double equalisers and
tabulators (the double limits of vertical arrows). Double limits can
describe important tools; for instance, the Grothendieck construction of a
profunctor is its tabulator, in the "double category" of categories,
functors and profunctors. If A is a 2-category, the previous result
reduces to Street's construction theorem of weighted limits, by ordinary
limits and cotensors 2*X (the tabulator of the vertical identity of the
object X).
Marco Grandis
Dipartimento di Matematica
Universita' di Genova
via Dodecaneso 35
16146 GENOVA, Italy
e-mail: grandis@dima.unige.it
tel: +39.10.353 6805 fax: +39.10.353 6752
home page: http://www.dima.unige.it/STAFF/GRANDIS/
reply other threads:[~1997-11-13 19:56 UTC|newest]
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