Adaricheva, Kira2016-02-092016-02-092004Adaricheva Kira; 2004; Join-semidistributive lattices of relatively convex sets; arXiv.orghttp://nur.nu.edu.kz/handle/123456789/1218We give two sufficient conditions for the lattice Co(Rn,X) of rel- atively convex sets of Rn 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(Rn,X), for a suitable finite subset X of RnenAttribution-NonCommercial-ShareAlike 3.0 United StatesResearch Subject Categories::MATHEMATICSjoin-semidistributive latticesArticle