A theorem on topological versal deformation
Izvestiya. Mathematics , Tome 9 (1975) no. 2, pp. 277-296

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It is proved that a topological versal deformation exists for almost any germ of a smooth mapping; the exceptional germs constitute a set of codimension infinity in the space of all germs. Bibliography: 7 items.
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     author = {A. N. Varchenko},
     title = {A theorem on topological versal deformation},
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A. N. Varchenko. A theorem on topological versal deformation. Izvestiya. Mathematics , Tome 9 (1975) no. 2, pp. 277-296. http://geodesic.mathdoc.fr/item/IM2_1975_9_2_a4/