  We give three examples of large intervals in the lattice of (local) clones on
an infinite set X, by exhibiting clones C_1, C_2, C_3 such that:
  (1) the interval [C_1, O] in the lattice of local clones is (as a lattice)
isomorphic to {0,1,2, ...} under the divisibility relation,
  (2) the interval [C_2, O] in the lattice of local clones is isomorphic to the
congruence lattice of an arbitrary semilattice,
  (3) the interval [C_3, O] in the lattice of all clones is isomorphic to the
lattice of all filters on X.
  These examples explain the difficulty of obtaining a satisfactory analysis of
the clone lattice on infinite sets.
  In particular, (1) shows that the lattice of local clones is not dually
atomic.
