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Syntopogenous preordered spaces

Published online by Cambridge University Press:  24 October 2008

D. C. J. Burgess  and
M. Fitzpatrick
D. C. J. Burgess
Affiliation:
Queen's University, Belfast and Northern Ireland Polytechnic, Jordanstown
M. Fitzpatrick
Affiliation:
Queen's University, Belfast and Northern Ireland Polytechnic, Jordanstown
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Extract

The investigation of a topological, uniform or proximity space endowed with a preordering is by now well established. A topological space along with a preordering related to the topology in varying degrees has been studied, for example, in (3), (4), (5) and (6). ‘Uniform preordered spaces’ and ‘Proximity preordered spaces’ have been considered in (6) and (8) respectively. In each of these cases generalizations of varying proportions of the classical theories have been obtained.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 80 , Issue 1 , July 1976 , pp. 71 - 79
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

REFERENCES

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