International Journal of Mathematics and Mathematical Sciences
Volume 16 (1993), Issue 4, Pages 645-652
doi:10.1155/S0161171293000791
The Nachbin compactification via convergence ordered spaces
Department of Mathematics, Washington State University, Pullman 99164-3113, Washington, USA
Received 21 April 1992
Copyright © 1993 D. C. Kent and Dongmei Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We construct the Nachbin compactification for a T3.5-ordered topological ordered
space by tailing a quotient of an ordered convergence space compactification. A variation of this
quotient construction leads to a compactification functor on the category of T3.5-ordered convergence
ordered spaces.