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On the Regularity of the Kowalsky Completion

Published online by Cambridge University Press:  20 November 2018

Eva Lowen-Colebunders
Eva Lowen-Colebunders*
Affiliation:
Vrije Universiteit Brussels, Brussel, Belgium
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Cauchy spaces were introduced by Kowalsky in 1954 [9]. In that paper a first completion method for these spaces was given. In 1968 Keller [5] has shown that the Cauchy space axioms characterize the collections of Cauchy filters of uniform convergence spaces in the sense of [1]. Moreover in the completion theory of uniform convergence spaces the associated Cauchy structures play an essential role [12]. This fact explains why in the past ten years in the theory of Cauchy spaces, much attention has been given to the study of completions.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 36 , Issue 1 , 01 February 1984 , pp. 58 - 70
Copyright
Copyright © Canadian Mathematical Society 1984

References

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