A. Gupta, R. Gross, et al.
SPIE Advances in Semiconductors and Superconductors 1990
Paper
Free completely distributive lattices
Abstract
We show that the usual construction of the free distributive lattice on n generators generalizes to an arbitrary quantity of generators and actually yields a free completely distributive lattice. Furthermore, for an infinite number of generators the cardinality of the corresponding free completely distributive lattice is exactly that of the power set of the power set of the set of generators. © 1979 American Mathematical Society.
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