N. V. Isaenkova, E. V. Zhuzhoma, A. E. Shishenkova, “Solenoidal basic sets of Smale-Vietoris А-diffeomorphisms”, Zhurnal SVMO, 2014, Volume 16, Number 2,Pages <nobr>63

In Middle Volga Mathematical Society

Solenoidal basic sets of Smale-Vietoris А-diffeomorphisms

N. V. Isaenkova^a, E. V. Zhuzhoma^b, A. E. Shishenkova^c

^a MIA academy of Nizhnii Novgorod
^b Research Institute for Applied Mathematics and Cybernetics, N. I. Lobachevski State University of Nizhnii Novgorod
^c Nizhnii Novgorod State Agricultural Academy

Abstract: In the article, one considers the endomorphisms of the class $\Upsilon$ of branched 1-manifolds with two branch points. The main result is a description of non-wandering set the endomorphisms of the class $\Upsilon$.

Keywords: Non-wandering set, nonsingular endomorphism, branched 1-manifold.

UDC: 517.938

Received: 25.07.2014