Построение специальных спайнов пространств двулистных разветвленных накрытий трехмерной сферы
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 6 (2002), pp. 13-18 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{VCHGU_2002_6_a1,
     author = {O. M. Davydov},
     title = {{\CYRP}{\cyro}{\cyrs}{\cyrt}{\cyrr}{\cyro}{\cyre}{\cyrn}{\cyri}{\cyre} {\cyrs}{\cyrp}{\cyre}{\cyrc}{\cyri}{\cyra}{\cyrl}{\cyrsftsn}{\cyrn}{\cyrery}{\cyrh} {\cyrs}{\cyrp}{\cyra}{\cyrishrt}{\cyrn}{\cyro}{\cyrv} {\cyrp}{\cyrr}{\cyro}{\cyrs}{\cyrt}{\cyrr}{\cyra}{\cyrn}{\cyrs}{\cyrt}{\cyrv} {\cyrd}{\cyrv}{\cyru}{\cyrl}{\cyri}{\cyrs}{\cyrt}{\cyrn}{\cyrery}{\cyrh} {\cyrr}{\cyra}{\cyrz}{\cyrv}{\cyre}{\cyrt}{\cyrv}{\cyrl}{\cyre}{\cyrn}{\cyrn}{\cyrery}{\cyrh} {\cyrn}{\cyra}{\cyrk}{\cyrr}{\cyrery}{\cyrt}{\cyri}{\cyrishrt} {\cyrt}{\cyrr}{\cyre}{\cyrh}{\cyrm}{\cyre}{\cyrr}{\cyrn}{\cyro}{\cyrishrt} {\cyrs}{\cyrf}{\cyre}{\cyrr}{\cyrery}},
     journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
     pages = {13--18},
     year = {2002},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VCHGU_2002_6_a1/}
}
TY  - JOUR
AU  - O. M. Davydov
TI  - Построение специальных спайнов пространств двулистных разветвленных накрытий трехмерной сферы
JO  - Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika
PY  - 2002
SP  - 13
EP  - 18
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/VCHGU_2002_6_a1/
LA  - ru
ID  - VCHGU_2002_6_a1
ER  - 
%0 Journal Article
%A O. M. Davydov
%T Построение специальных спайнов пространств двулистных разветвленных накрытий трехмерной сферы
%J Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika
%D 2002
%P 13-18
%N 6
%U http://geodesic.mathdoc.fr/item/VCHGU_2002_6_a1/
%G ru
%F VCHGU_2002_6_a1
O. M. Davydov. Построение специальных спайнов пространств двулистных разветвленных накрытий трехмерной сферы. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 6 (2002), pp. 13-18. http://geodesic.mathdoc.fr/item/VCHGU_2002_6_a1/

[1] Birman J.S., Hilden H.M., “Heegard splittings of branched coverings of S3”, Trans. Amer. Math. Soc., 213 (1975), 315–352 | MR | Zbl

[2] Viro O.Ya., “Dvulistnye nakrytiya trekhmernoi sfery”, Zap. nauch. seminarov LOMI, 36 (1973), 6–39 | Zbl

[3] Ferri M., “Crystal lisation of 2-fold branched coverings of S3”, Proc. Amer. Math. Soc., 72 (1979), 271 – 276 | MR

[4] Ovchinnikov M.A., “Spetsialnyi spain linzy tip dlinnaya vosmerka i linza kak prostranstvo dvulistnogo nakrytiya 3-sfery razvetvlennogo vdol dvumostnogo zatsepleniya”, Vestn. Chelyab. un-t . Ser. 3. Matematika. Mekhanika, 1999, no. 1(4), 145 – 154

[5] Ovchinnikov M.A., Postroenie spetsialnykh spainov mnogoobrazii Valdkhauzena, Dis. ...kand. fiz.-mat. nauk, Chelyabinsk, 2000

[6] Matveev S.V, Tables of 3-manifolds up to complexity 6, MPI Preprint 98 - 67

[7] Rolfsen D., Knots and links, Publish of Perish, N.-Y. | MR

[8] Milnor J., “Groups which acts on $S^n$ without fixed points”, Amer. J. Math., 79 (1967), 623–660 | DOI | MR

[9] Vesnin A.Yu., Mednykh A.D., “Mnogoobraziya Fibonachchi kak dvulistnye nakrytiya nad trekhmernoi sferoi i gipotez Meirgofa -Noimana”, Sib. mat. zhurn., 37:3 (1996), 534 – 542 | MR | Zbl

[10] Matveev S.V., “Complexity Theory of Three-Dimensional Manifolds”, Acta Applicandae Math., 19 (1990), 101 – 130 | MR | Zbl

[11] Matveev S.V., Fomenko A.T., Algoritmicheskie i kompyuternye metody v trekhmernoi topologii, Izd-vo Mosk. un - ta, M., 1991

[12] Montesinos J.M., Whitten W., “Constructions of Two-fold Branched Coverings of S3”, Pacif. J. of Math., 125:2 (1986), 415–446 | DOI | MR