LEVEL OF THE ORBITS TOPOLOGICAL-STRUCTURE AND TOPOLOGICAL SEMICONJUGACY

For a discrete system, the idea that the orbit's topological structure possesses three levels is proposed and the notions of the quasi-weakl y almost periodic point and the minimal covering of a topological semi -conjugacy are introduced. The relationship between the three levels a nd the recurrence of points and some properties kept under the topolog ical semi-conjugacy is also discussed.