International Journal of Mathematics and Mathematical Sciences
Volume 11 (1988), Issue 4, Pages 683-694
doi:10.1155/S0161171288000833
Ordered compactification of totally ordered spaces
Darrell C. Kent1
and T.A. Richmond2
1Department of Pure and Applied Mathematics, Washington State University, Pullman 99164-2930, Washington, USA
2Department of Mathematics, Western Kentucky University, Bowling Green 42101, Kentucky, USA
Abstract
A complete description of the T2-ordered compactifications of a totally ordered space X is given in terms of the simple and essential singularities.