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Workshop on Categorical Structures for Descent and Galois Theory, Hopf Algebras and Semiabelian Categories
September 23-28, 2002
Fields Institute
Toronto, ON, Canada

Organizers
George Janelidze, Georgian Academy of Sciences, Bodo Pareigis, University of Munich, Walter Tholen, York University

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The topos of ``cocommutative coalgebras''
by
Robert Paré
Dalhousie University

The category of cocommutative coalgebras is almost a topos. It is cartesian closed, has disjoint and universal sums, and has a generating set. But it is not a topos because quotients are not stable. We consider a topos which contains coalgebras and preserves the good properties mentioned above. We study what this topos tells us about coalgebras and related structures. We will try to understand what happens when cocommutativity is dropped

Date received: May 22, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cajf-24.