A convex semilattice is cancellative if and only if it embeds into a Riesz space, the lattice-ordered-vector-space analogue of the Stone-Kneser theorem.
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Cancellative Convex Semilattices
A convex semilattice is cancellative if and only if it embeds into a Riesz space, the lattice-ordered-vector-space analogue of the Stone-Kneser theorem.