Very many clones above the unary clone

by Goldstern and Sagi and Shelah. [GoSaSh:989]
Algebra Universalis, 2013
Let c:= 2^{aleph_0} . We give a family of pairwise incomparable clones on {N} with 2^c members, all with the same unary fragment, namely the set of all unary operations. We also give, for each n, a family of 2^c clones all with the same n-ary fragment, and all containing the set of all unary operations.


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