Subfitness in distributive (semi)lattices
General Topology
2025-03-26 v2
Abstract
We investigate whether the set of subfit elements of a distributive semilattice is an ideal. This question was raised by the second author at the BLAST conference in 2022. We show that in general it has a negative solution, however if the semilattice is a lattice, then the solution is positive. This is somewhat unexpected since, as we show, a semilattice is subfit if and only if so is its distributive lattice envelope.
Cite
@article{arxiv.2404.06071,
title = {Subfitness in distributive (semi)lattices},
author = {Guram Bezhanishvili and James Madden and M. Andrew Moshier and Marcus Tressl and Joanne Walters-Wayland},
journal= {arXiv preprint arXiv:2404.06071},
year = {2025}
}
Comments
Final Version (14 pages)