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Uniformly convex totally ordered sets


Author: R. H. Redfield
Journal: Proc. Amer. Math. Soc. 51 (1975), 289-294
MSC: Primary 54F05; Secondary 06A45
MathSciNet review: 0394595
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Abstract: Since a uniformly convex totally ordered set is a uniform lattice, its uniform completion is totally ordered in a natural way. The assumption of uniform convexity is a small restriction because every nearly uniform ordered space is uniformly convex.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1975-0394595-X
Keywords: Uniform ordered space, totally ordered set, uniform completion, uniform lattice, uniformly convex
Article copyright: © Copyright 1975 American Mathematical Society