Revisiting the Cosmological Principle in a Cellular Framework
  The Cosmological Principle in it's various versions states that: (i) the
Galaxy does not occupy a particular position, (ii) the Universe is homogeneous
and isotropic. This statement does not agree with the recent astronomical
observations in the range z lower than 0.05 which are in agreement with a
cellular structure of the Universe. Here we present a local analysis of the
inhomogeneity of the Universe. When z is greater than 0.05 our analysis cannot
be applied because the astronomical sample of galaxies here processed is not
complete. The two tools of the Poisson Voronoi tessellation (PVT) and the
luminosity function for galaxies allow of building a new version of the local
Cosmological Principle.
