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

Voir la notice de l'article provenant de la source Math-Net.Ru

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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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/

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[2] Varchenko A. N., “Teoremy o topologicheskoi ekvisingulyarnosti semeistv algebraicheskikh mnogoobrazii i semeistv polinomialnykh otobrazhenii”, Izv. AN SSSR. Ser. matem., 36 (1972), 957–1019 | MR | Zbl

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[6] Varchenko A. N., “Lokalnye topologicheskie svoistva analiticheskikh otobrazhenii”, Izv. AN SSSR. Ser. matem., 37 (1973), 883–916 | Zbl

[7] Pham F., Remarque sur l'equisingularite universelle, Faculte des sciences Nice, Mathematiaues, decembre 1970