Nonwandering set of points of skew-product maps with base having closed set of periodic points

Example of the Smooth Skew Product in the Plane with the One-dimensional Ramified Continuum as the Global Attractor

“…{x} × Ω(g x, n(x) ) is not correct for skew products of maps of an interval with a closed set of periodic points in the base, here n(x) is the (least) period of a point x ∈ P er(f ) (see [30]). At the same time the equality Ω(F |Ω(f )×I 2 ) =…”