DYNAMICAL LIMIT SETS OF MOTION ON TOPOLOGICAL STRUCTURE OF SET F(T,X)

Abstract

In this paper is proved that, if \(T\) is a real line and \((Y,\mathcal{V})\) is a Hausdorff topological space, then the dynamical limit sets \(\Omega_x(A_x)\) of the motion \(\psi(x,t)\) are close and invariant on topological structure of the set \(F(T,X)\), related with the relative topology of coordinatewise convergence.