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Organizers |
On the category of groupoids.
by
Piotr Stachura
Warsaw University of Life Sciences
Usually groupoid is defined as a (small) category with invertible morphisms. Such a definition suggests that morphism of groupoids is just a functor. The alternative definition of groupoid due to Zakrzewski in terms of relations will be presented. It turns out that it is equivalent to the usual definition but approach to morphisms is different: morphisms are relations that preserve structure. This will be described and some examples will be presented in purely algebraic and differential geometric situations.
Date received: March 12, 2012
Copyright © 2012 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbek-19.