Tychonoff Poset Structures
by
Bob Flagg
University of Southern Maine
Coauthors: Ralph Kopperman (City College of New York)

We explore the question of when a poset has enough continuous order-preserving morphisms into the unit interval semilattice to separate points. Our discussion focuses on auxiliary relations and the fact that these are embodiments of special quasiproximities. We prove a general embedding theorem for approximating auxiliary relations which has as corollaries the fundamental representation theorems for algebraic, continuous and completely distributive lattices.

Date received: April 12, 1996

Copyright © 1996 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 # caae-22.