On two-dimensional surface attractors and repellers on 3-manifolds

Viatcheslav Grines, Vladislav Medvedev, Evgeny Zhuzhoma

We show that if $f:M^3\to M^3$ is an $A$-diffeomorphism with a surface two-dimensional attractor or repeller $\mathcal{B}$ and $M_{\mathcal{B}}^2$ is a supporting surface for $ \mat…