Codimension of compact 𝑀-semilattices

Lea, J. W.; Lau, A. Y. W.

doi:10.1090/S0002-9939-1975-0374324-6

Codimension of compact $M$-semilattices
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by J. W. Lea and A. Y. W. Lau PDF

Proc. Amer. Math. Soc. 52 (1975), 406-408 Request permission

Abstract:

This paper is a generalization of [5] and gives a partial answer to Question 31 in [1], i.e., if $S$ is a compact $M$-semilattice of finite codimension and $x \ne y$, then there exists a closed subsemilattice $A$ of $S$ such that $A$ separates $x$ and $y$ in $S$ and $\operatorname {cd} A < \operatorname {cd} S$.

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