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Cauchy Completion Categories

Published online by Cambridge University Press:  20 November 2018

D. C. Kent  and
G. D. Richardson
D. C. Kent
Affiliation:
Department of Pure and Applied Mathematics, Washington State University, Pullman, WA 99164
G. D. Richardson
Affiliation:
Departments of Mathematics and Statistics, University of Central Florida, Orlando, FL 32816
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Abstract

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A general procedure is introduced for identifying categories of Cauchy spaces which have completions which possess a certain convergence property P, and for constructing completion functors on such categories. These results are applied to obtain a characterization of Cauchy spaces which allow T 3 completions, and to construct T 3 completions for categories of Cauchy groups and Cauchy lattices.

Keywords

54A2054E1528A35Cauchy spaceCauchy groupCauchy latticecompletion functorCauchy category

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 32 , Issue 1 , 01 March 1989 , pp. 78 - 84
Copyright
Copyright © Canadian Mathematical Society 1989

References

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