Regular completions of Cauchy spaces via function algebras
- 1 August 1974
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 11 (1) , 77-88
- https://doi.org/10.1017/s0004972700043665
Abstract
A regular completion with the universal property is obtained for each member of a certain class of Cauchy spaces by embedding the Cauchy space in a complete function algebra with the continuous convergence structure.Keywords
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