Construction of homomorphisms of 𝑀-continuous lattices

Xu, Xiao Quan

doi:10.1090/S0002-9947-1995-1286011-8

Construction of homomorphisms of $M$-continuous lattices
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Trans. Amer. Math. Soc. 347 (1995), 3167-3175 Request permission

Abstract:

We present a direct approach to constructing homomorphisms of $M$-continuous lattices, a generalization of continuous lattices, into the unit interval, and show that an $M$-continuous lattice has sufficiently many homomorphisms into the unit interval to separate the points.

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