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Some Characterizations of Dedekind α-Completeness of a Riesz Space

Published online by Cambridge University Press:  20 November 2018

Y. A. Abramovich  and
A. W. Wickstead
Y. A. Abramovich
Affiliation:
Department of Mathematics IUPUI Indianapolis, Indiana 46205 USA
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Abstract

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A vector lattice F is said to be Dedekind α-complete, where α is a cardinal number, provided that each non-empty order bounded subset D of F satisfying card(D) ≤ α has a supremum. Several characterizations of this property are presented here.

Keywords

47B5546A40
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 36 , Issue 1 , 01 March 1993 , pp. 3 - 7
Copyright
Copyright © Canadian Mathematical Society 1993

References

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