Morse--Smale Diffeomorphisms with Three Fixed Points
Matematičeskie zametki, Tome 92 (2012) no. 4, pp. 541-558

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

It is proved that the closures of separatrices for a Morse–Smale diffeomorphism with three fixed points are flatly embedded spheres if the dimension of the manifold is at least 6 and may be wildly embedded spheres if the dimension of the manifold is 4.
Keywords: Morse–Smale diffeomorphism with three fixed points, separatrix of a saddle, flatly embedded sphere, wildly embedded sphere, nonwandering set, periodic point.
@article{MZM_2012_92_4_a5,
     author = {E. V. Zhuzhoma and V. S. Medvedev},
     title = {Morse--Smale {Diffeomorphisms} with {Three} {Fixed} {Points}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {541--558},
     publisher = {mathdoc},
     volume = {92},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2012_92_4_a5/}
}
TY  - JOUR
AU  - E. V. Zhuzhoma
AU  - V. S. Medvedev
TI  - Morse--Smale Diffeomorphisms with Three Fixed Points
JO  - Matematičeskie zametki
PY  - 2012
SP  - 541
EP  - 558
VL  - 92
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2012_92_4_a5/
LA  - ru
ID  - MZM_2012_92_4_a5
ER  - 
%0 Journal Article
%A E. V. Zhuzhoma
%A V. S. Medvedev
%T Morse--Smale Diffeomorphisms with Three Fixed Points
%J Matematičeskie zametki
%D 2012
%P 541-558
%V 92
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2012_92_4_a5/
%G ru
%F MZM_2012_92_4_a5
E. V. Zhuzhoma; V. S. Medvedev. Morse--Smale Diffeomorphisms with Three Fixed Points. Matematičeskie zametki, Tome 92 (2012) no. 4, pp. 541-558. http://geodesic.mathdoc.fr/item/MZM_2012_92_4_a5/