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Dedekind Completeness and a Fixed-Point Theorem

Published online by Cambridge University Press:  20 November 2018

E. S. Wolk
E. S. Wolk*
Affiliation:
University of Connecticut
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McShane (5, 6) has introduced the concept of “Dedekind completeness” for partially ordered sets, which seems to be a natural generalization of the usual concept of completeness for lattices. It is the purpose of this paper to discuss some of the properties of Dedekind completeness, particularly with respect to a rather natural class of partially ordered sets which we call “uniform.”

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 9 , 1957 , pp. 400 - 405
Copyright
Copyright © Canadian Mathematical Society 1957

References

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