  I will review some results of observational cosmology which critically cast
doubt upon the foundations of the standard cosmology: 1) The redshifts of the
galaxies are due to the expansion of the Universe; 2) The cosmic microwave
background radiation and its anisotropies come from the high energy primordial
Universe; 3) The abundance pattern of the light elements is to be explained in
terms of the primordial nucleosynthesis; 4) The formation and evolution of
galaxies can only be explained in terms of gravitation in the cold dark matter
theory of an expanding Universe. The review does not pretend to argue against
this standard scenario in favour of an alternative theory, but to claim that
cosmology is still a very young science and should leave the door wide open to
other positions.
