On decomposition of ambient surfaces admitting $ A $-diffeomorphisms with non-trivial attractors and repellers
On decomposition of ambient surfaces admitting $ A $-diffeomorphisms with non-trivial attractors and repellers
<p style='text-indent:20px;'>It is well-known that there is a close relationship between the dynamics of diffeomorphisms satisfying the axiom <inline-formula><tex-math id="M2">\begin{document}$ A $\end{document}</tex-math></inline-formula> and the topology of the ambient manifold. In the given article, this statement is considered for the class <inline-formula><tex-math id="M3">\begin{document}$ \mathbb G(M^2) $\end{document}</tex-math></inline-formula> of <inline-formula><tex-math id="M4">\begin{document}$ A $\end{document}</tex-math></inline-formula>-diffeomorphisms …