Algebraic conditions leading to continuous lattices
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- by Jimmie D. Lawson
- Proc. Amer. Math. Soc. 78 (1980), 477-481
- DOI: https://doi.org/10.1090/S0002-9939-1980-0556616-2
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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 $(L, \vee )$ is a compact topological semilattice. In §3 it is shown that a meet-continuous lattice with finite breadth is a continuous lattice.References
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Bibliographic Information
- © Copyright 1980 American Mathematical Society
- 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