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Order arguments on the dimension of vector lattices

Published online by Cambridge University Press:  14 November 2011

John T. Annulis
John T. Annulis
Affiliation:
Math Department, University of Arkansas-Monticello, Monticello, AR 71655, U.S.A.
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Synopsis

The main result asserts that the base of an infinite dimensional Dedekind complete space with unit contains an infinite set of disjoint elements. From this result it can be shown that the dimension of Dedekind σ -complete spaces with unit is not countably infinite.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 89 , Issue 1-2 , 1981 , pp. 51 - 53
Copyright
Copyright © Royal Society of Edinburgh 1981

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References

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