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

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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/}
}
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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/