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)

 

 

Algebraic conditions leading to continuous lattices


Author: Jimmie D. Lawson
Journal: Proc. Amer. Math. Soc. 78 (1980), 477-481
MSC: Primary 06B30; Secondary 03B40, 22A26
DOI: https://doi.org/10.1090/S0002-9939-1980-0556616-2
MathSciNet review: 556616
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: This paper is concerned with sufficient conditions for a meet-continuous lattice L to be a continuous lattice. In §2 this is shown to be true if the prime elements order generate and $ (L, \vee )$ is a compact topological semilattice. In §3 it is shown that a meet-continuous lattice with finite breadth is a continuous lattice.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 06B30, 03B40, 22A26

Retrieve articles in all journals with MSC: 06B30, 03B40, 22A26


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1980-0556616-2
Keywords: Continuous lattice, topological semilattice, finite breadth
Article copyright: © Copyright 1980 American Mathematical Society