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Diagonal Cauchy spaces

Published online by Cambridge University Press:  17 April 2009

D.C. Kent  and
G.D. Richardson
D.C. Kent
Affiliation:
Department of Pure and Applied Mathematics, Washington State University, Pullman WA 99164-3113, United States of America
G.D. Richardson
Affiliation:
Department of Mathematics, University of Central Florida, Orlando FL 32816, United States of America
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Abstract

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A diagonal condition is defined which internally characterises those Cauchy spaces which have topological completions. The T2 diagonal Cauchy spaces allow both a finest and a coarsest T2 diagonal completion. The former is a completion functor, while the latter preserves uniformisability and has an extension property relative to θ-continuous maps.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 54 , Issue 2 , October 1996 , pp. 255 - 265
Copyright
Copyright © Australian Mathematical Society 1996

References

REFERENCES

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