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arXiv · 1210.3520

Distributive lattices determined by weighted double skeletons

Gábor Czédli·Joanna Grygiel·Katarzyna Grygiel
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Abstract

Related to his S-glued sum construction, the skeleton S(L) of a finite lattice L was introduced by C. Herrmann in 1973. Our theorem asserts that if D is a finite distributive lattice and its second skeleton, S(S(D)), is the trivial lattice, then D is characterized by its weighted double skeleton, introduced by the second author in 2006. The assumption on the second skeleton is essential.

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Gábor Czédli, Joanna Grygiel, Katarzyna Grygiel. 2012-10-12. Distributive lattices determined by weighted double skeletons. https://arxiv.org/abs/1210.3520

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