Corank one mono-germs $f:(ℝⁿ,0)\to ({ℝ}^p,0)$, n < p, of ${}_e$-codimension one are classified by giving an explicit normal form.

We study the local behaviour of inflection points of families of plane curves in the projective plane. We develop normal forms and versal deformation concepts for holomorphic function germs $f:({ℂ}^2,0)⟶(ℂ,0)$ which take into account the inflection points of the fibres of $f$. We give a classification of such function- germs which is a projective analog of Arnold’s A,D,E classification. We compute the versal deformation with respect to inflections of Morse function-germs.