Geodesic
Crowns, Fences, and Dismantlable Lattices
Canadian journal of mathematics, Tome 26 (1974) no. 5, pp. 1257-1271

Voir la notice de l'article provenant de la source Cambridge University Press

A finite lattice L of order n is dismantlable [6] if there is a chain L 1 ⊂ L 2 ⊂ . . . ⊂ Ln = L of sublattices of L such that |Li | = i for every i = 1, 2, . . . , n. In [1] it was shown that every finite planar lattice is dismantlable. Furthermore, every lattice L with |L| ≦ 7 is dismantlable [6]; in fact, every large enough lattice contains a dismantlable sublattice with precisely n elements [4]. As well, such lattices are closed under the formation of sublattices and homomorphic images [6]. 
Kelly, David; Rival, Ivan. Crowns, Fences, and Dismantlable Lattices. Canadian journal of mathematics, Tome 26 (1974) no. 5, pp. 1257-1271. doi: 10.4153/CJM-1974-120-2
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[1] 1. Baker, K. A., Fishburn, P. C., and Roberts, F. S., Partial orders of dimension 2, interval orders, and interval graphs, The Rand Corp. P-4376 (1970). Google Scholar

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[6] 6. Rival, I., Lattices with doubly irreducible elements, Can. Math. Bull. 17 (1974). Google Scholar

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