Strict Extensions in Pointfree Topology
by
Sung Sa Hong
Department of Mathematics, Sogang University, Seoul, Korea
Coauthors: B. Banaschewski

It is known that generalized filters (= bounded meet-semilattice homomorphisms into a frame) in a frame are more suitable than classical filters to study convergence in frames. Using the adjointness between the category of bounded meet-semilattices and the category of frames, we construct the strict extension of a frame L associated with a set of generalized filters on L and show that category theory describes succinctly how the set of filters determines the structure of the strict extension. This is joint work with B. Banaschewski.

Date received: May 29, 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-21.