Algebraic conditions leading to continuous lattices
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
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