Construction of homomorphisms of ๐‘€-continuous lattices

Xiao Quan Xu ยท Transactions of the American Mathematical Society ยท 1995

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

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