  A new category of topological spaces with additional structures, called
m-towers, is introduced. It is shown that there is a covariant functor which
establishes a one-to-one correspondences between unital (resp. arbitrary)
subhomogeneous C*-algebras and proper (resp. proper pointed) m-towers of finite
height, and between all *-homomorphisms between two such algebras and morphisms
between m-towers corresponding to these algebras.
