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arXiv · 2303.06787

Contact semilattices

Paolo Lipparini
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Abstract

We devise exact conditions under which a join semilattice with a weak contact relation can be semilattice embedded into a Boolean algebra with an overlap contact relation, equivalently, into a distributive lattice with additive contact relation. A similar characterization is proved with respect to Boolean algebras and distributive lattices with weak contact, not necessarily additive, nor overlap.

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Paolo Lipparini. 2023-03-13. Contact semilattices. https://doi.org/10.1093/jigpal%2Fjzad012

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