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
Darrell C. Kent
and Dongmei Liu
Department of Mathematics, Washington State University, Pullman 99164-3113, Washington, USA
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.