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Boolean-valued equivalence relations and complete extensions of complete boolean algebras

Published online by Cambridge University Press:  17 April 2009

Denis Higgs
Denis Higgs
Affiliation:
University of Waterloo, Waterloo, Ontario, Canada.
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Abstract

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It is remarked that, if A is a complete boolean algebra and δ is an A-valued equivalence relation on a non-empty set I, then the set of δ-extensional functions from I to A can be regarded as a complete boolean algebra extension of A and a characterization is given of the complete extensions which arise in this way.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 3 , Issue 1 , August 1970 , pp. 65 - 72
Copyright
Copyright © Australian Mathematical Society 1970

References

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