Resumen de Examples of Morse decompositions for semigroups actions

Carlos José Braga Barros, Hélio V. M. Tozatti, Josiney A. Souza

• The concepts of Morse decompositions and dynamic Morse  decompositions are equivalent for flows. In this paper we show that these concepts are not equivalent for Morse decompositions of semigroups of homeomorphisms on topological spaces.We give an example of a dynamic Morse decompositions on compactifications of topological spaces. Other examples of Morse decompositions are also provided.