Amalgamating poset extensions and generating free lattices
Rings and Algebras
2022-01-19 v2 Combinatorics
Abstract
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.
Cite
@article{arxiv.1907.08964,
title = {Amalgamating poset extensions and generating free lattices},
author = {Rob Egrot},
journal= {arXiv preprint arXiv:1907.08964},
year = {2022}
}
Comments
Version 2 is significantly rewritten and streamlined