International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 4, Pages 665-676
doi:10.1155/S0161171295000858
On the Nachbin compactification of products of totally ordered spaces
Darrell C. Kent1
, Dongmei Liu1
and T.A. Richmond3
1Department of Mathematics, Washington State University, Pullman 99164-3113, Washington, USA
3Department of Mathematics, Western Kentucky University, Bowling Green 42101, Kentucky, USA
Abstract
Necessary and sufficient conditions are given for β0(X×Y)=β0X×β0Y, where X and Y are totally ordered spaces and β0X denotes the Nachbin (or Stone-Čech ordered) compactification of X.