Submission date: 23 June 2020

Abstract:

We compute the domination monoid in the theory DMT of dense meet-trees. In order to show that this monoid is well-defined, we prove weak binarity of DMT and, more generally, of certain expansions of it by binary relations on sets of open cones, a special case being the theory DTR from arXiv:1909.04626. We then describe the domination monoids of such expansions in terms of those of the expanding relations.

Mathematics Subject Classification: 03C45 (Primary) 06A12 (Secondary)

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Full text arXiv 2006.13004: pdf,