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Meet-distributive lattices and the anti-exchange closure. (English) Zbl 0442.06004


MSC:

06D99 Distributive lattices
06A06 Partial orders, general
06A15 Galois correspondences, closure operators (in relation to ordered sets)
05A99 Enumerative combinatorics
11M99 Zeta and \(L\)-functions: analytic theory
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References:

[1] G. Birkhoff,Lattice Theory, 3rd. ed., American Math. Soc., Providence, 1967. · Zbl 0153.02501
[2] H. H. Crapo andG.-C. Rota,On the foundations of combinatorial theory Combinatorial Geometries, MIT Press, Cambridge, 1970.
[3] C. Greene andG. Markowsky,A combinatorial test for local distributivity, I.B.M. Technical Report No. RC5129 (November, 1974).
[4] R. P. Stanley,Combinatorial reciprocity theorems, Advances in Mathematics,14 (1974), 194–252. · Zbl 0294.05006 · doi:10.1016/0001-8708(74)90030-9
[5] R. P. Stanley,Ordered structures and partitions, Mem. Amer. Math. Soc., No. 119, Amer. Math. Soc., Providence, 1972. · Zbl 0246.05007
[6] G.-C. Rota,On the foundations of combinatorial theory, I. Theory of Möbius functions, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete,2 (1964), 340–368. · Zbl 0121.02406 · doi:10.1007/BF00531932
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