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Compactifications of ordered topological spaces

Published online by Cambridge University Press:  24 October 2008

T. McCallion
T. McCallion
Affiliation:
Queen's University, Belfast
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Extract

An ordered topological space is a set X endowed with a topology τ and a partial order ≤. We shall denote such a space by (X, τ), it being understood that (unless otherwise stated) the symbol ≤ is used to denote the partial order on X. An account of some of the properties of these spaces can be found in (5), (6) and (7).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 71 , Issue 3 , May 1972 , pp. 463 - 473
Copyright
Copyright © Cambridge Philosophical Society 1972

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References

REFERENCES

(1)Burgess, D. C. J.Analytical topology (The New University Mathematics Series, Van Nostrand; London, 1966).Google Scholar
(2)Frink, O.Compactifications and semi-normal spaces. Amer. J. Math. 86 (1964), 602–607.CrossRefGoogle Scholar
(3)Gillman, L. and Jerison, M.Rings of continuous functions (Princeton, 1960).CrossRefGoogle Scholar
(4)Kelley, J. L.General topology (Princeton, 1955).Google Scholar
(5)McCartan, S. D.Separation axioms for topological ordered spaces. Proc. Cambridge Philos. Soc. 64 (1968), 965–973.CrossRefGoogle Scholar
(6)Nachbin, L.Topology and order (Van Nostrand Mathematical Studies, Princeton, New Jersey, 1965).Google Scholar
(7)Ward, L. E.Partially ordered topological spaces. Proc. Amer. Math. Soc. 5 (1954), 144–161.CrossRefGoogle Scholar