Особенности динамики бесконечнократных внутренних по Трохимчуку эпиморфизмов

Abstract

Trokhimchuk inner mappings are continuous open isolated endomorphisms. The paper consider the Trokhimchuk inner mappings with infinite number of preimages from a dynamical systems view. Examples given that shows an essential difference from the dynamics of inner mappings with finite number of preimages. A subclass of Trokhimchuk inner mappings is defined. It is shown that its dynamical properties are similar to ones of inner mappings with finite number of preimages and results on orbit structure are obtained.