Abstract
By a 1941 result of Whitman, the free lattice FL(3) = FL(x, y, z) includes a sublattice FL(ω) freely generated by infinitely many elements. Let δ denote the unique dual automorphism of FL(x, y, z) that acts identically on the set {x, y, z} of generators. We prove that FL(x, y, z) has a sublattice S isomorphic to FL(ω) such that δ(S) = S.
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Dedicated to Tamás E. Schmidt on the occasion of his eightieth birthday
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Czédli, G. A selfdual embedding of the free lattice over countably many generators into the three-generated one. Acta Math. Hungar. 148, 100–108 (2016). https://doi.org/10.1007/s10474-015-0560-3
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DOI: https://doi.org/10.1007/s10474-015-0560-3