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Separation axioms for topological ordered spaces

Published online by Cambridge University Press:  24 October 2008

S. D. McCartan
S. D. McCartan
Affiliation:
Queen's University, Belfast
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Extract

A topological ordered space (X, , <) is a set X endowed with both a topology and a partial order <, and is usually denoted by (X, ), it being understood that the symbol ≤ is used to denote all partial orders.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 4 , October 1968 , pp. 965 - 973
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

REFERENCES

(1)Birkhoff, G.Lattice theory (American Math. Soc., Colloquium Publications No. 25).Google Scholar
(2)Burgess, D. C. J.Analytical topology (The New University Mathematics Series, Van Nostrand; London, 1966).Google Scholar
(3)Kelly, J. L.General topology. (Van Nostrand; New York, 1955).Google Scholar
(4)Nachbin, L.Topology and order (Van Nostrand Mathematical Studies, Princeton, New Jersey, 1965).Google Scholar
(5)Ward, L. E.Partially ordered topological spaces. Proc. Amer. Math. Soc. 5 (1954), 144–161.CrossRefGoogle Scholar