All creatures great and small


Let κ be an uncountable regular cardinal. Assuming 2 = κ, we show that the clone lattice on a set of size κ is not dually atomic. 0 Introduction A clone C on a set X is a set of finitary operations f : X → X which contains all the projections and is closed under composition. (Alternatively, C is a clone if C is the set of term functions of some universal… (More)


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