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Some Classes of Topological Spaces with Unique Quasi-Uniformity

Published online by Cambridge University Press:  20 November 2018

V. Gregori  and
J. Ferrer
V. Gregori
Affiliation:
Llopis Universidad Politécnica Càtedra De Matemàticas (Etsia) Camino De Vera, 14 Valencia-22. Spain.
J. Ferrer
Affiliation:
Llopis Universidad Politécnica Càtedra De Matemàticas (Etsia) Camino De Vera, 14 Valencia-22. Spain.
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Abstract

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We follow P. Fletcher and W. F. Lindgren's work in the study of topological spaces with a unique quasi-uniformity by generalizing some of their results and constructing larger classes of uqu spaces which contain some of their examples as a particular case.

Keywords

54E5554E35
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 4 , 01 December 1986 , pp. 446 - 449
Copyright
Copyright © Canadian Mathematical Society 1986

References

1. Fletcher, P. and Lindgren, W. F., Quasi-uniformities with a transitive base. Pacific J. Math. 43(3), (1972). pp. 619–631.Google Scholar
2. Fletcher, P. and Lindgren, W. F., Quasi-uniform spaces. Marcel Dekker, Inc. New York (1982).Google Scholar
3. Lindgren, W. F., Topological spaces with a unique compatible quasi-uniformity. Canad. Math. Bull. 14(3) (1971). pp. 369-372.Google Scholar
4. Lindgren, W. F., Topological spaces with a unique quasi-uniform structure. Arch, der Math. XXII (1971). pp. 417–419.Google Scholar
5. Pervin, W. J., Quasi-uniformization of topological spaces. Math. Ann. 147 (1962), pp. 316—317.Google Scholar