All creatures great and small

Goldstern, Martin; Shelah, Saharon

doi:10.1090/tran/6568

All creatures great and small
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by Martin Goldstern and Saharon Shelah PDF

Trans. Amer. Math. Soc. 368 (2016), 7551-7577 Request permission

Abstract:

Let $\lambda$ be an uncountable regular cardinal. Assuming $2^{[\lambda ]}=\lambda ^+$, we show that the clone lattice on a set of size $\lambda$ is not dually atomic.

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