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arxiv: 0706.1190 · v1 · submitted 2007-06-08 · 🧮 math.RA · math.LO

All creatures great and small

classification 🧮 math.RA math.LO
keywords kappaassumingatomiccardinalclonecreaturesduallygreat
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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.

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