  We investigate projections to odometers (group rotations over adic groups) of
topological invertible dynamical systems with discrete time and compact
Hausdorff phase space.
  For a dynamical system $(X, f)$ with a compact phase space we consider the
category of its projections onto odometers. We examine the connected partial
order relation on the class of all objects of a skeleton of this category. We
claim that this partially ordered class always have maximal elements and
characterize them. It is claimed also, that this class have a greatest element
and is isomorphic to some characteristic for the dynamical system $(X, f)$
subset of the set $\Sigma$ of ultranatural numbers if and only if the dynamical
system $(X, f)$ is indecomposable (the space $X$ could not be decomposed into
two proper disjoint closed invariant subsets).
