Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-07T22:18:31.478Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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