Algebraic conditions leading to continuous lattices
Document Type
Article
Publication Date
1-1-1980
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, ⋁) is a compact topological semilattice. In §3 it is shown that a meet-continuous lattice with finite breadth is a continuous lattice. © 1981 American Mathematical Society.
Publication Source (Journal or Book title)
Proceedings of the American Mathematical Society
First Page
477
Last Page
481
Recommended Citation
Lawson, J. (1980). Algebraic conditions leading to continuous lattices. Proceedings of the American Mathematical Society, 78 (4), 477-481. https://doi.org/10.1090/S0002-9939-1980-0556616-2
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