Free trees and the optimal bound in Wehrung's theorem

Pavel Růžička · Fundamenta Mathematicae · 2008

We prove that there is a distributive $(\vee,0,1)$-semilattice $\mathcal{G}$ of size $\aleph_2$ such that there is no weakly distributive $(\vee,0)$-homomorphism from $\mathop{\rm Con}_c A$ to $\mathcal{G}$ with $1$ in its range, for any algebra $A$ wit

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