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Regular completions of uniform convergence spaces

Published online by Cambridge University Press:  17 April 2009

R.J. Gazik ,
D.C. Kent  and
G.D. Richardson
R.J. Gazik
Affiliation:
Department of Mathematics, Arkansas State University, State University, Arkansas, USA;
D.C. Kent
Affiliation:
Department of Pure and Applied Mathematics, Washington State University, Pullman, Washington, USA;
G.D. Richardson
Affiliation:
Department of Mathematics, East Carolina University, Greenville, North Carolina, USA.
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Abstract

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A regular completion with universal property is obtained for each member of the class of u–embedded uniform convergence spaces, a class which includes the Hausdorff uniform spaces. This completion is obtained by embedding each u-embedded uniform convergence space (X, I) into the dual space of a complete function algebra composed of the uniformly continuous functions from (X, I) into the real line.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 11 , Issue 3 , December 1974 , pp. 413 - 424
Copyright
Copyright © Australian Mathematical Society 1974

References

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