Geodesic
Decomposition of knots
Sbornik. Mathematics, Tome 10 (1970) no. 1, pp. 139-150 
A. B. Sosinskii. Decomposition of knots. Sbornik. Mathematics, Tome 10 (1970) no. 1, pp. 139-150. http://geodesic.mathdoc.fr/item/SM_1970_10_1_a9/
@article{SM_1970_10_1_a9,
     author = {A. B. Sosinskii},
     title = {Decomposition of knots},
     journal = {Sbornik. Mathematics},
     pages = {139--150},
     year = {1970},
     volume = {10},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1970_10_1_a9/}
}
TY  - JOUR
AU  - A. B. Sosinskii
TI  - Decomposition of knots
JO  - Sbornik. Mathematics
PY  - 1970
SP  - 139
EP  - 150
VL  - 10
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/SM_1970_10_1_a9/
LA  - en
ID  - SM_1970_10_1_a9
ER  - 
%0 Journal Article
%A A. B. Sosinskii
%T Decomposition of knots
%J Sbornik. Mathematics
%D 1970
%P 139-150
%V 10
%N 1
%U http://geodesic.mathdoc.fr/item/SM_1970_10_1_a9/
%G en
%F SM_1970_10_1_a9

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

Every knot of codimension 2 (smooth, piecewise linear or locally flat) is proved to decompose into a connected sum of a finite number of indecomposable knots. Bibliography: 15 titles.

[1] E. Artin, “Zur Isotopie zweidirnerisionalen Flaohen im $R^4$”, Abh. Math. Sem. Univ., 4 (1926), 174–177, Hamburg | DOI

[2] W. Browder, “Structures on $M\times R^1$”, Proc. Camb. Phil. Soc., 61:2 (1965), 337–345 | DOI | MR | Zbl

[3] A. B. Sosinskii, “O vlozhenii $k$-elementa v $E^n$”, DAN SSSR, 139:6 (1901), 1311–1314 | MR

[4] A. Haefliger, “Differential Embeddings”, Bull. Amer. Math. Soc., 67 (1961), 109–112 | DOI | MR | Zbl

[5] W. C. Hsiang, J. Levine, R. H. Szczarba, “On the normal bundle of a homotopy sphere embedded in Euclidean space”, Topology, 3 (1965), 173–181 | DOI | MR | Zbl

[6] M. Kervaire, Higher dimensional knots, A symposium in honor of M. Morse, Princeton Univ. Press, New York, 1965 | MR | Zbl

[7] J. Levine, “Unknotting spheres in codimension 2”, Topology, 4:1 (1965), 9–16 | DOI | MR | Zbl

[8] J. Levine, “A classification of differentiable knots”, Ann. Math., 82:1 (1965), 15–50 | DOI | MR | Zbl

[9] M. Kervaire, “Les noeuds de dimensions superieures”, Bull. Soc. Math. France, 93:3 (1966), 225–271 | MR

[10] J. Stailings, “On topologically unknotted sptieres”, Ann. Math., 77:3 (1963), 490–503 | DOI | MR

[11] I. Grushko, “O bazisakh svobodnykh proizvedenii grupp”, Matem. sb., 8 (1940), 169–182 | Zbl

[12] N. Burbaki, Algebra (moduli, koltsa, formy), Nauka, Moskva, 1966 | MR

[13] D. B. Fuks, “Kompleksy Eilenberga–Makleina”, Uspekhi matem, nauk, XXI:5(131), 213–215 | MR

[14] A. B. Sosinskii, “Mnogomernye topologicheskie uzly”, DAN SSSR, 163:6 (1965), 1326–1329 | MR | Zbl

[15] A. B. Sosinskii, “Gomotopii dopolnenii k uzlam”, DAN SSSR, 176:6 (1967), 1258–1261 | MR | Zbl