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A Compactification for Convergence Ordered Spaces

Published online by Cambridge University Press:  20 November 2018

D. C. Kent  and
G. D. Richardson
D. C. Kent
Affiliation:
Department of Pure and Applied Mathematics, Washington State University, Pullman, WA 99163
G. D. Richardson
Affiliation:
Department of Mathematics, Univ. of Central Florida, Orlando, Fl. 32816
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Abstract

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Compactifications are constructed for convergence ordered spaces and topological ordered spaces with extension properties that resemble those of the Stone-Čech compactification.

Keywords

54A2054D3554F05

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 27 , Issue 4 , 01 December 1984 , pp. 505 - 513
Copyright
Copyright © Canadian Mathematical Society 1984

References

1. Choe, T. H. and Park, Y. S., Wallman's Type Order Compactification, Pac. J. Math 82 (1979), 339-347.CrossRefGoogle Scholar
2. Kent, D. C. and Richardson, G. D., a Compactification with θ-continuous Lifting Property, Can. J. Math 34 (1982), 1330-1334.Google Scholar
3. Nachbin, L., Topology and Order, Van Nostrand Mathematical Studies 4, Princeton, N.J. 1965.Google Scholar
4. Richardson, G. D., A Stone-Čech Compactification for Limit Spaces, Proc. American Math. Soc. 25 (1970), 403-404.Google Scholar