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Topological Spaces with a Unique Compatible Quasi-Uniformity

Published online by Cambridge University Press:  20 November 2018

W. F. Lindgren
W. F. Lindgren*
Affiliation:
Southern Illinois University, Carbondale, Illinois
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In [ 2 ] P. Fletcher proved that a finite topological space has a unique compatible quasi-uniformity; C. Barnhill and P. Fletcher showed in [1] that a topological space (X, ), with finite, has a unique compatible quasiuniformity. In this note we give some necessary conditions for unique quasiuniformizability.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 14 , Issue 3 , September 1971 , pp. 369 - 372
Copyright
Copyright © Canadian Mathematical Society 1971

References

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