(Symmetric) Monoidal Closed Structures in Approach Theory
by
Mark Sioen
University of Antwerp, Ruca

Many of the constructs arising in Approach Theory, as introduced by R. Lowen unfortunately are not cartesian closed. One way of remedying this defect, and hence making them more suitable for categorically algebraic considerations like e.g. Gelfand-type duality theories, or nice function space theory like e.g. Ascoli-type theorems, is looking for monoidal closed structures on them, which amounts to replacing the usual cartesian product by a new tensor product, allowing a nice adjunction to a certain function space structure. It is our aim in this talk to discuss some results obtained on the classification and the ``number'' of monoidal closed structures on some of the constructs arising in approach theory.

Date received: June 16, 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-46.