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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 directcharacterization of this class of cardinals: the regular kappa such that thereis no uniform kappa^+-complete ultrafilter. We also prove a similar result to"(2^kappa, kappa)-compact for types".

Maximal failures of sequence locality in a.e.c