%0 Journal Article
%T A survey of clones on infinite sets
%A Martin Goldstern
%A Michael Pinsker
%J Mathematics
%D 2006
%I arXiv
%X A clone on a set X is a set of finitary operations on X which contains all projections and which is moreover closed under functional composition. Ordering all clones on X by inclusion, one obtains a complete algebraic lattice, called the clone lattice. We summarize what we know about the clone lattice on an infinite base set X and formulate what we consider the most important open problems.
%U http://arxiv.org/abs/math/0701030v2