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

MathSciNet review:
556616

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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 is a compact topological semilattice. In §3 it is shown that a meet-continuous lattice with finite breadth is a continuous lattice.

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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