Egrot R. Amalgamating Poset Extensions and Generating Free Lattices. Order (2022). doi:10.1007/s11083-022-09594-7 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/84404
Title
Amalgamating Poset Extensions and Generating Free Lattices
We investigate connections between the free lattice generated by a poset while preserving certain bounds and the canonical extension of a poset. Explicitly, we describe how the free lattice generated by a poset while preserving certain bounds can be constructed as a colimit of ‘intermediate structures’as they occur in the construction of a canonical extension of a poset.