Dimension Theory and Group Valued Functors
by
Anthony Bak

This talk defines concepts of structure and dimension in arbitrary categories and illustrates them with well known examples. It shows that arbitrary group and coset valued functors define in a natural way notions of structure and dimension on their source categories and that this data predicts group theoretic properties of the functors over finite dimensional objects, such as solvability, nilpotence, or normality of subfunctors. The results are illustrated with applications.

Date received: May 31, 2000

Copyright © 2000 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 # caeq-28.