  We are interested in examples of a.e.c. with amalgamation having some
(extreme) behaviour concerning types. Note we deal with k being sequence-local,
i.e. local for increasing chains of length a regular cardinal (for types,
equality of all restrictions imply equality). . For any cardinal theta>=
aleph_0 we construct an a.e.c. with amalgamation k with L.S.T.(k) = theta,
|tau_K| = theta such that {kappa : kappa is a regular cardinal and K is not
(2^kappa, kappa)-sequence-local} is maximal. In fact we have a direct
characterization of this class of cardinals: the regular kappa such that there
is no uniform kappa^+-complete ultrafilter. We also prove a similar result to
"(2^kappa, kappa)-compact for types".
