Goldstern, M., & Saharon, S. (2016). All creatures great and small. Transactions of the American Mathematical Society, 368(11), 7551–7577. https://doi.org/10.1090/tran/6568
Applied Mathematics; General Mathematics; Precomplete clones; maximal clones; clones on infinite sets; creature forcing; large creatures; cardinal arithmetic
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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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