Join-semidistributive lattices of relatively convex sets

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Adaricheva, Kira

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We 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 Rn

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Adaricheva Kira; 2004; Join-semidistributive lattices of relatively convex sets; arXiv.org

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