Geodesic
Local topological properties of differentiable mappings
Izvestiya. Mathematics, Tome 8 (1974) no. 5, pp. 1033-1082 
A. N. Varchenko. Local topological properties of differentiable mappings. Izvestiya. Mathematics, Tome 8 (1974) no. 5, pp. 1033-1082. http://geodesic.mathdoc.fr/item/IM2_1974_8_5_a4/
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     url = {http://geodesic.mathdoc.fr/item/IM2_1974_8_5_a4/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

An existence theorem is proved for local topological classification of differentiable mappings.

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

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

[3] Abhyankar S., Local analytic geometry, Academic Press, N.Y., London, 1964 | MR | Zbl

[4] Malgranzh B., Idealy differentsiruemykh funktsii, Mir, M., 1968

[5] Lojasiewicz S., “Triangulation of semianalytic sets”, Ann. Scuola Norm. super. Pisa, Serie III, XVIII:IV (1904), 449–474 | MR

[6] Khilton P., Uaili S., Teoriya gomologii, Mir, M., 1966

[7] Tom R., “Lokalnye topologicheskie svoistva differentsiruemykh otobrazhenii”, Osobennosti differentsiruemykh otobrazhenii, Mir, M., 1968, 198–214 | MR

[8] Tom R., “Bifurkatsionnoe podmnozhestvo prostranstva otobrazhenii”, Uspekhi matem. nauk, XXVII:5(167) (1972), 51–57 | MR

[9] Varchenko A. N., “O rostkakh differentsiruemykh otobrazhenii, topologicheskii tip kotorykh opredelyaetsya konechnoi struei”, Uspekhi matem. nauk, 28:3 (1973), 175–176 | MR | Zbl

[10] Varchenko A. N., “Teorema ob ekvisingulyarnosti semeistv algebraicheskikh mnogoobrazii”, Uspekhi matem. nauk, 26:1(157) (1971), 217–218 | MR | Zbl

[11] Mazer Dzh., “Stratifikatsii i otobrazheniya”, Uspekhi matem. nauk, 27:5(167) (1972), 85–118 | MR | Zbl