Examples of Morse decompositions for semigroups actions

• Braga Barros, Carlos J. ^[1] ; Tozatti, Hélio V. M. ^[1] ; Souza, Josiney A. ^[1]
  1. [1] Universidade Estadual de Maringá

     Universidade Estadual de Maringá

     Brasil

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 30, Nº. 1, 2011, págs. 65-75
• Idioma: inglés
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• Resumen

  • 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.