Structurally stable diffeomorphisms with basis sets of codimension one
Izvestiya. Mathematics , Tome 66 (2002) no. 2, pp. 223-284
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We study the topological and homotopical structure of closed $n$-dimensional manifolds
($n\geqslant 3$) on which there are structurally stable diffeomorphisms with orientable expanding attractors and contracting repellers of codimension one. The results obtained are applied to the topological classification of such diffeomorphisms on the $n$-dimensional torus $T^n$, $n\geqslant 3$.
@article{IM2_2002_66_2_a0,
author = {V. Z. Grines and E. V. Zhuzhoma},
title = {Structurally stable diffeomorphisms with basis sets of codimension one},
journal = {Izvestiya. Mathematics },
pages = {223--284},
publisher = {mathdoc},
volume = {66},
number = {2},
year = {2002},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_2002_66_2_a0/}
}
V. Z. Grines; E. V. Zhuzhoma. Structurally stable diffeomorphisms with basis sets of codimension one. Izvestiya. Mathematics , Tome 66 (2002) no. 2, pp. 223-284. http://geodesic.mathdoc.fr/item/IM2_2002_66_2_a0/