Resumen

BRAGA BARROS, Carlos J; TOZATTI, Hélio V. M  y  SOUZA, Josiney A. Examples of Morse decompositions for semigroups actions. Proyecciones (Antofagasta) [online]. 2011, vol.30, n.1, pp. 65-75. ISSN 0716-0917.  doi: 10.4067/S0716-09172011000100007.

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 semigroup of homeomorphisms on topological spaces. We give an example of a dynamic Morse decomposition which is not a Morse decomposition on compactifications of topological spaces. Other examples of Morse decompositions are also provided.

Palabras clave : Morse decomposition; dynamic Morse decomposition; one-point compactification.