On the *-autonomous category chu(Ab, R/Z)
by
Heinrich Kleisli
University of Fribourg

Michael Barr showed how the category chu(Ab, R/Z) can be interpreted as a category of weakly topologized abelian groups and furthermore as a category of abelian groups endowed with a Mackey topology. We shall give here a characterization of the Mackey topologies which allows to obtain in a straightforward way a generalization of Pontrjagin duality. The latter, which represent a deep result, can be obtained from our generalization by using just one profound theorem, namely Glicksberg's theorem on weakly compact subsets.

Date received: June 13, 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-45.