Strict regular completions of Cauchy spaces

Authors:
Paul Brock and Gary Richardson

Journal:
Proc. Amer. Math. Soc. **128** (2000), 1547-1554

MSC (1991):
Primary 54A20, 54D35

DOI:
https://doi.org/10.1090/S0002-9939-99-05132-1

Published electronically:
October 5, 1999

MathSciNet review:
1641653

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Abstract | References | Similar Articles | Additional Information

Abstract: A diagonal condition is defined and used in characterizing the Cauchy spaces which have a strict, regular completion.

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Additional Information

**Paul Brock**

Affiliation:
Department of Mathematics, San Diego State University, San Diego, California 92182-7720

Email:
pwbrock@pacbell.net

**Gary Richardson**

Affiliation:
Department of Mathematics, University of Central Florida, Orlando, Florida 32816-6284

Email:
garyr@pegasus.cc.ucf.edu

DOI:
https://doi.org/10.1090/S0002-9939-99-05132-1

Keywords:
Convergence space,
Cauchy space,
regularity,
completion,
diagonal axiom

Received by editor(s):
September 23, 1997

Received by editor(s) in revised form:
July 7, 1998

Published electronically:
October 5, 1999

Communicated by:
Alan Dow

Article copyright:
© Copyright 2000
American Mathematical Society