Theπ π πNÑ-five-point function

Choosing a suitable covariant decomposition of theπ π πNÑ-five-point function the crossing relations are derived and a complete reduction of them is given. The implications of the known factorization properties at the one-particle singularities of the invariant functions on their assumed Regge behaviour is investigated and a set of asymptotic relations between them is found. A mass degenerate parity doublet of the nucleon can remove the relations connected with the nucleon poles.