  In the paper the role of conservation laws in evolutionary processes, which
proceed in material systems (in material media) and lead to generation of
physical fields, is shown using skew-symmetric differential forms.
  In present paper the skew-symmetric differential forms on deforming
(nondifferentiable) manifolds were used in addition to exterior forms, which
have differentiable manifolds as a basis. Such skew-symmetric forms (which were
named evolutionary ones since they possess evolutionary properties), as well as
the closed exterior forms, describe the conservation laws. But in contrast to
exterior forms, which describe conservation laws for physical fields, the
evolutionary forms correspond to conservation laws for material systems.
  The evolutionary forms possess an unique peculiarity, namely, the closed
exterior forms are obtained from these forms. It is just this that enables one
to describe the process of generation of physical fields, to disclose
connection between physical fields and material systems and to resolve many
problems of existing field theories.
