VERSAL DEFORMATIONS OF RELATIVE MAP GERMS WITH K EQUIVALENCE

The aim of this paper is to discuss the versal deformations of relative map germs with K equivalence.We study the relative map germs by methods of versal deformation of classic singularity theory and get a method of deciding relative K-versal deformations and some relative propositions.Making use of these results,we can study the stability of relative map germs.