On ω-limit sets of antitriangular maps

We give a topological characterization of ω-limit sets of continuous antitriangular maps, that is, maps F :[0,1]2→[0,1]2 with the form F(x,y)=(f2(y),f1(x)), (x,y)∈I2. We also point out some differences between ω-limit set of antitriangular and one-dimensional maps.