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A Note on Locally Quasi-Uniform Spaces

Published online by Cambridge University Press:  20 November 2018

Troy L. Hicks and
Shirley M. Huffman
Troy L. Hicks
Affiliation:
Department of Mathematics, University of Missouri-Rolla Rolla, Missouri 65401
Shirley M. Huffman
Affiliation:
Department of Mathematics, Southwest Missouri State University Springfield, Missouri 65802
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Abstract

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Locally quasi-uniform spaces are studied, and it is shown that a topological space (X, t) admits exactly one compatible locally quasi-uniform structure if and only if t is finite.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 19 , Issue 4 , 01 December 1976, pp. 501 - 504
Copyright
Copyright © Canadian Mathematical Society 1976

References

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