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On the natural completion functor for Cauchy spaces

Published online by Cambridge University Press:  17 April 2009

R. Frič  and
D.C. Kent
R. Frič
Affiliation:
Vysoká škola dopravná, Katedra matematiky F SET, Žilina, Československo;
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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The natural completion functor on the category of cλ-embedded Cauchy spaces induces a completion functor on a category of sequential Cauchy spaces which preserves sequential regularity.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 18 , Issue 3 , June 1978 , pp. 335 - 343
Copyright
Copyright © Australian Mathematical Society 1978

References

[1]Frič, R. and Kent, D.C., “Completion of sequential Cauchy spaces”, Comment. Math. Univ. Carolinae 18 (1977), 351–361.Google Scholar
[2]Frič, R. and Kent, D.C., “On c–embedded sequential convergence spaces”, submitted.Google Scholar
[3]Gazik, R.J. and Kent, D.C., “Regular completions of Cauchy spaces via function algebras”, Bull. Austral. Math. Soc. 11 (1974), 77–88.CrossRefGoogle Scholar
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