Vol. 82, No. 2, 1979

Recent Issues
Vol. 329: 1
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 1  2
Online Archive
The Journal
About the journal
Ethics and policies
Peer-review process
Submission guidelines
Submission form
Editorial board
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author index
To appear
Other MSP journals
Wallman’s type order compactification

Tae Ho Choe and Young Soo Park

Vol. 82 (1979), No. 2, 339–347

For a completely regular ordered space X, the Stone-Čech order compactiflcation β1(X) has been constructed by Nachbin. This compactification is a generalized concept of the ordinary Stone-Čech compactiflcation β(X) in the sense that if X has the discrete order: x y iff x = y, then β1X = βX. In this paper, for a convex ordered space X with a semi-closed order, the Wallman order compactification ω0(X) is constructed by the use of the concept of maximal bifilters. ω0(X) is a T1-compact ordered topological space in which X is densely embedded in both the topological and order sense.

Mathematical Subject Classification 2000
Primary: 54D35
Received: 6 December 1976
Revised: 30 October 1978
Published: 1 June 1979
Tae Ho Choe
Young Soo Park