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Constructive complete distributivity II

Published online by Cambridge University Press:  24 October 2008

Robert Rosebrugh  and
R. J. Wood
Robert Rosebrugh
Affiliation:
Department of Mathematics and Computer Science, Mount Allison University, Sackville, N.B., Canada
R. J. Wood
Affiliation:
Department of Mathematics, Statistics and Computing Science, Dalhousie University, Halifax, N.S., Canada
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Abstract

A complete lattice, L, is constructively completely distributive, (CCD) (L), if the sup map defined on down-closed subobjects has a left adjoint. It was known that in Boolean toposes (CCD) (L) is equivalent to (CCD) (Lop). We show here that the latter property for all L (sufficiently, for Ω.) characterizes Boolean toposes.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 110 , Issue 2 , September 1991 , pp. 245 - 249
Copyright
Copyright © Cambridge Philosophical Society 1991

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References

REFERENCES

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