NDLI: Regular completions of uniform convergence spaces

Content Provider	Scilit
Author	Gazik, R. J. Kent, D. C. Richardson, G. D.
Copyright Year	1974
Description	A regular completion with universal property is obtained for each member of the class ofu–embedded uniform convergence spaces, a class which includes the Hausdorff uniform spaces. This completion is obtained by embedding eachu-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.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/9850E16E7AD6EE3658C2FF9E3B396D34/S000497270004404Xa.pdf/div-class-title-regular-completions-of-uniform-convergence-spaces-div.pdf
Ending Page	424
Page Count	12
Starting Page	413
ISSN	00049727
e-ISSN	17551633
DOI	10.1017/s000497270004404x
Journal	Bulletin of the Australian Mathematical Society
Issue Number	3
Volume Number	11
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1974-12-01
Access Restriction	Open
Subject Keyword	Bulletin of the Australian Mathematical Society Applied Mathematics Uniform Convergence
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Regular completions of uniform convergence spaces