  The situation of the decay of the metastable phase on the several types of
heterogeneous centers is described analytically. The total number of
heterogeneous centers is supposed to be equal for different types. This
description decomposes the general situation into some characterisrtic cases.
Every case can be described by some special method. The problem is to show that
these characteristic cases cover all possible variants of the composition of
the condensation system. This is done is this manuscript. In the first part we
consider the general facts which allow to establish this overlapping in
principle. In the second part we consider some real model systems and show this
overlapping directly by explicit calculations. In the third part we consider
the process of nucleation on ions and give the generalization for the centers
with a rather arbitrary nature.
