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All retraction operators on a complete lattice form a complete lattice

Acta Mathematica Sinica, 1991
Summary: \textit{H. Crapo} [J. Pure Appl. Algebra 23, 13-28 (1982; Zbl 0474.06004)] raised the following problem: If P is a complete lattice, is Retr(P) a complete lattice? Here Retr(P) denotes the set of all retraction operators on P with the pointwise order, that is, \(f\leq g\) in Retr(P) iff f(x)\(\leq g(x)\) for every x in P. An affirmative answer
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Complete Atomic Boolean Lattices

Journal of the London Mathematical Society, 1977
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