Chain functors with isomorphic homology

Every chain functor K * determines a homology theory on a given category of topological spaces resp. of spectrathen there exists a third chain functor C * and transformations of chain functors K γ : K * -→ C * , L γ : L * -→ C * inducing isomorphisms of the associated homology theories (theorem 1.1.).Moreover the distinction between regular and irregular chain functors is introduced.