Imperfect Bifurcation and Banach Space Singularity Theory

摘要

The theory of imperfect bifurcation via singularity theory as developed to a Banach space setting is generalized. Banach control spaces which allow a useful uniform control of function parameters through universal unfolding are discussed. Among the results are tests for various germ properties and a discussion of their reducibility under a Liapunov-Schmidt type plitting, as well as a generalization of the finite dimensional unfolding and germ classification theory.