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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Coreflectors not preserving the interval and Baire partitions of uniform spaces


Authors: G. Tashjian and J. Vilímovský
Journal: Proc. Amer. Math. Soc. 77 (1979), 257-263
MSC: Primary 54E15
MathSciNet review: 542094
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Abstract: Values of the compact interval and other spaces under coreflectors in the category of uniform spaces are studied. It is shown that any coreflector which changes the usual uniformity of the interval produces a new uniformity which contains all finite Baire partitions of the interval.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1979-0542094-8
PII: S 0002-9939(1979)0542094-8
Keywords: Uniform spaces, coreflection, compact interval, Baire set
Article copyright: © Copyright 1979 American Mathematical Society