Measure requirements on distributive lattices for Boolean algebras and topological applications
HTML articles powered by AMS MathViewer
- by Carlos C. Huerta PDF
- Proc. Amer. Math. Soc. 106 (1989), 307-308 Request permission
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
-
N. Bourbaki, Elements of mathematics, general topology, part I, Hermann, Paris, 1966, pp. 130-132.
- George Bachman and Ronald Cohen, Regular lattice measures and repleteness, Comm. Pure Appl. Math. 26 (1973), 587–599. Collection of articles dedicated to Wilhelm Magnus. MR 335750, DOI 10.1002/cpa.3160260504
- Ronald Cohen, Lattice measures and topologies, Ann. Mat. Pura Appl. (4) 109 (1976), 147–164. MR 435346, DOI 10.1007/BF02416957
- George Bachman and Panagiotis D. Stratigos, On general lattice repleteness and completeness, Illinois J. Math. 27 (1983), no. 4, 535–561. MR 720091
Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 106 (1989), 307-308
- MSC: Primary 06E99; Secondary 06D05
- DOI: https://doi.org/10.1090/S0002-9939-1989-0937013-2
- MathSciNet review: 937013