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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Measure requirements on distributive lattices for Boolean algebras and topological applications


Author: Carlos C. Huerta
Journal: Proc. Amer. Math. Soc. 106 (1989), 307-308
MSC: Primary 06E99; Secondary 06D05
MathSciNet review: 937013
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Abstract: In this note we give a measure requirement for a distributive lattice to be complemented, and therefore a boolean algebra. Applying this result and using measure style arguments, we get various topological results.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1989-0937013-2
PII: S 0002-9939(1989)0937013-2
Keywords: Anti-isomorphism, filter, zero-one valued measures
Article copyright: © Copyright 1989 American Mathematical Society