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Publications in Scientific Journals:

M. Goldstern, S. Saharon:
"All creatures great and small";
Transactions of the American Mathematical Society, 368 (2016), 11; 7551 - 7577.



English 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.

Keywords:
Precomplete clones, maximal clones, clones on infinite sets, creature forcing, large creatures, cardinal arithmetic


"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1090/tran/6568


Created from the Publication Database of the Vienna University of Technology.