Abstract
We study the simplicity of map-germs obtained by the operation of augmentation and describe how to obtain their versal unfoldings. When the augmentation comes from an {mathscr {A}}_e-codimension 1 germ or the augmenting function is a Morse function, we give a complete characterisation for simplicity. These characterisations yield all the simple augmentations in all explicitly obtained classifications of {mathscr {A}}-simple monogerms except for one (F_4 in Mond’s list from mathbb C^2 to mathbb C^3). Moreover, using our results we produce a list of corank 1 simple augmentations from mathbb C^4 to mathbb C^4.
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