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Regular completions of uniform convergence spaces
Published online by Cambridge University Press: 17 April 2009
Abstract
A regular completion with universal property is obtained for each member of the class of u–embedded uniform convergence spaces, a class which includes the Hausdorff uniform spaces. This completion is obtained by embedding each u-embedded uniform convergence space (X, I) into the dual space of a complete function algebra composed of the uniformly continuous functions from (X, I) into the real line.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 11 , Issue 3 , December 1974 , pp. 413 - 424
- Copyright
- Copyright © Australian Mathematical Society 1974
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