The idea that the universe might be open is an old one, and the possibility
of having an open universe arise form inflation is not new either. However, a
concrete realization of a consistent single-bubble open inflation model is
known only recently. There has been great progress in the last two years in the
development of models of inflation consistent with observations in such an open
universe. In this overview I will describe the basic features and the
phenomenological consequences of such models, making emphasis in the
predictions of the CMB temperature anisotropies that differ from ordinary
inflation.Comment: 20 pages, LaTeX, crckapb.sty macro included, 6 figures included in
the text with epsf. Review talk, to appear in the Proceedings of the ``Birth
of the Universe II'' Conference in Roma, May 199
