Join-semidistributive lattices of relatively convex sets

Details Join-semidistributive lattices of relatively convex sets Join-semidistributive lattices of relatively convex sets

2004-03-05

arxiv.org/abs/math/0403104v1

Contributions to General Algebra 14, Proceedings of the Olomouc Conference 2002 (AAA 64) and the Potsdam conference 2003 (AAA

Mathematics

Rings and Algebras

11 pages, first presented on AAA-65 in Potsdam, March 2003

Scientific paper

We give two sufficient conditions for the lattice Co(R^n,X) of relatively
convex sets of n-dimensional real space R^n to be join-semidistributive, where
X is a finite union of segments. We also prove that every finite lower bounded
lattice can be embedded into Co(R^n,X), for a suitable finite subset X of R^n.

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