Mappings from R^3 to R^3 and signs of swallowtails

Justyna Bobowik, Zbigniew Szafraniec

Let M be an oriented 3-manifold. For a generic f \in C^ \infty(M,R^3), there is a discrete set of swallowtail critical points. In that case, at any swallowtail point p there exists…