Abstract:We give two characterisations of when a map-germ admits a 1-parameter stable unfolding, one related to the $${\mathscr {K}}_e$$
K
e
-codimension and another related to the normal form of a versal unfolding. We then prove that there are infinitely many finitely determined map-germs of multiplicity 4 from $${\mathbb {K}}^3$$
K
3
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