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Proceedings of the American Mathematical Society

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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.

References [Enhancements On Off] (What's this?)

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  • [3] R. Cohen, Lattice measures and topologies, Ann. Mat. Pura Appl. IV, 109 (1976), 147-164. MR 0435346 (55:8306)
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Keywords: Anti-isomorphism, filter, zero-one valued measures
Article copyright: © Copyright 1989 American Mathematical Society

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