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Diagonal Cauchy spaces
Published online by Cambridge University Press: 17 April 2009
Abstract
A diagonal condition is defined which internally characterises those Cauchy spaces which have topological completions. The T2 diagonal Cauchy spaces allow both a finest and a coarsest T2 diagonal completion. The former is a completion functor, while the latter preserves uniformisability and has an extension property relative to θ-continuous maps.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 54 , Issue 2 , October 1996 , pp. 255 - 265
- Copyright
- Copyright © Australian Mathematical Society 1996
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