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math.RA2007
All creatures great and small
Martin Goldstern, Saharon Shelah
Let kappa be an uncountable regular cardinal. Assuming 2^kappa=kappa^+, we show that the clone lattice on a set of size kappa is not dually atomic.
math.RA2007
A survey of clones on infinite sets
Martin Goldstern, Michael Pinsker
A clone on a set X is a set of finitary operations on X which contains all projections and which is moreover closed under functional composition. Ordering all clones on X by inclus…