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Regular completions of Cauchy spaces via function algebras

Published online by Cambridge University Press:  17 April 2009

R.J. Gazik  and
D.C. Kent
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.
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Abstract

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A regular completion with the universal property is obtained for each member of a certain class of Cauchy spaces by embedding the Cauchy space in a complete function algebra with the continuous convergence structure.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 11 , Issue 1 , August 1974 , pp. 77 - 88
Copyright
Copyright © Australian Mathematical Society 1974

References

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