Geodesic
Surgery of singularities of smooth mappings
Izvestiya. Mathematics , Tome 6 (1972) no. 6, pp. 1302-1326.

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

In this article a method of reconstruction (surgery) of singularities of smooth mappings is presented which for smooth manifolds $M$ and $Q$ permits the construction of a mapping $M\to Q$ with given singularities. The results obtained by this method in the present paper were partially announced in [7]. 
@article{IM2_1972_6_6_a6,
     author = {Ya. M. Eliashberg},
     title = {Surgery of singularities of smooth mappings},
     journal = {Izvestiya. Mathematics },
     pages = {1302--1326},
     publisher = {mathdoc},
     volume = {6},
     number = {6},
     year = {1972},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1972_6_6_a6/}
}
TY  - JOUR
AU  - Ya. M. Eliashberg
TI  - Surgery of singularities of smooth mappings
JO  - Izvestiya. Mathematics 
PY  - 1972
SP  - 1302
EP  - 1326
VL  - 6
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1972_6_6_a6/
LA  - en
ID  - IM2_1972_6_6_a6
ER  - 
%0 Journal Article
%A Ya. M. Eliashberg
%T Surgery of singularities of smooth mappings
%J Izvestiya. Mathematics 
%D 1972
%P 1302-1326
%V 6
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1972_6_6_a6/
%G en
%F IM2_1972_6_6_a6
Ya. M. Eliashberg. Surgery of singularities of smooth mappings. Izvestiya. Mathematics , Tome 6 (1972) no. 6, pp. 1302-1326. http://geodesic.mathdoc.fr/item/IM2_1972_6_6_a6/

[1] Vishik S. M., “Vektornye polya v okrestnosti kraya mnogoobraziya”, Vestn. Mosk. un-ta. Ser. matem. i mekh., 1972, no. 1, 21–28 | Zbl

[2] Gromov M. L., Eliashberg Ya. M., “Ustranenie osobennostei gladkikh otobrazhenii”, Izv. AN SSSR. Ser. matem., 35 (1971), 600–626 | MR | Zbl

[3] Gromov M. L., Eliashberg Ya. M., “Postroenie neosobykh izoperimetricheskikh plenok”, Tr. Matem. in-ta im. V. A. Steklova AN SSSR, 116, 1971, 18–32 | MR

[4] Moren B., “Kanonicheskie formy osobennostei differentsiruemogo otobrazheniya”, Osobennosti differentsiruemykh otobrazhenii, Mir, M., 1968 | MR

[5] Tom R., “Nekotorye svoistva v tselom differentsiruemykh mnogoobrazii”, Rassloennye prostranstva, IL, M., 1958

[6] Eliashberg Ya. M., “Ob osobennostyakh tipa skladki”, Izv. AN SSSR. Ser. matem., 34 (1970), 1110–1126

[7] Eliashberg Ya. M., “Otobrazheniya s zadannymi osobennostyami”, Uspekhi matem. nauk, 26:6 (1971), 255–256 | MR | Zbl

[8] Haefliger A., “Quelques remarques sur les applications d'une surface dans le plan”, Ann. Inst. Fourier, 10 (1960), 47–60 | MR | Zbl

[9] Hirsch M., “Immersions of manifolds”, Trans. Amer. Math. Soc., 93 (1959), 242–276 | DOI | MR | Zbl

[10] Kervaire M., “Courbure intégrate généralisée”, Math. Ann., 131 (1956), 219–252 | DOI | MR | Zbl

[11] Levine H., “Elimination of cusps”, Topology, 3:2 (1965), 262–296 | MR

[12] Phillips A., “Submersions of open manifolds”, Topology, 6:2 (1967), 170–206 | DOI | MR

[13] Thomas E., “Postnikov invariants”, Ann. Math., 85:2 (1967), 184–217 | DOI | MR | Zbl

[14] “Problems concerning manifolds”, Lectures Notes in Math., 197, 1971, 220–230