  Different (fibrewise) amalgamated products of continuous C*-bundles have been
studied over the last years, one of the main question being to know when these
amalgamated products are continuous C*-bundles. In order to gather these
approaches in a joint framework, we first recall a few definitions from the
theory of deformations of C*-algebras and we fix several notations that will be
used in the sequel. Then we characterise the continuity properties of different
amalgamated products of (continuous) C(X)-algebras.
