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April 24, 2014 / porton

Coatoms of the lattice of funcoids

Open problem Let A and B be infinite sets. Characterize the set of all coatoms of the lattice \mathsf{FCD}(A;B) of funcoids from A to B. Particularly, is this set empty? Is \mathsf{FCD}(A;B) a coatomic lattice? coatomistic lattice?

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