Remote Access Proceedings of the American Mathematical Society
Green Open Access

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
DOI: https://doi.org/10.1090/S0002-9939-1989-0937013-2
MathSciNet review: 937013
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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?)

  • [1] N. Bourbaki, Elements of mathematics, general topology, part I, Hermann, Paris, 1966, pp. 130-132.
  • [2] G. Bachman and R. Cohen, Regular lattice measures and repleteness, Comm. Pure Appl. Math., 26 (1973), 587-599. MR 0335750 (49:530)
  • [3] R. Cohen, Lattice measures and topologies, Ann. Mat. Pura Appl. IV, 109 (1976), 147-164. MR 0435346 (55:8306)
  • [4] G. Bachman and P. D. Stratigos, On general lattice repleteness and completeness, Illinois J. Math., 27 (1983), 535-561. MR 720091 (84m:54029)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 06E99, 06D05

Retrieve articles in all journals with MSC: 06E99, 06D05


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1989-0937013-2
Keywords: Anti-isomorphism, filter, zero-one valued measures
Article copyright: © Copyright 1989 American Mathematical Society

American Mathematical Society