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Proceedings of the American Mathematical Society

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An embedding theorem for compact semilattices


Author: J. W. Lea
Journal: Proc. Amer. Math. Soc. 34 (1972), 325-331
MSC: Primary 06A20
DOI: https://doi.org/10.1090/S0002-9939-1972-0437407-5
MathSciNet review: 0437407
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Abstract: It is shown that if a compact topological semilattice S is a topological lattice, then S can be embedded simultaneously algebraically and topologically in a direct product of n chains if and only if S can be algebraically embedded in a direct product of n chains.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0437407-5
Keywords: Compact semilattice, compact lattice, direct product of chains, meet irreducible
Article copyright: © Copyright 1972 American Mathematical Society

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