Examples of Morse decompositions for semigroups actions

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...

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Autores principales:	Braga Barros,Carlos J, Tozatti,Hélio V. M, Souza,Josiney A
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2011
Materias:	Morse decomposition dynamic Morse decomposition one-point compactification
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000100007
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spelling	oai:scielo:S0716-091720110001000072018-10-30Examples of Morse decompositions for semigroups actionsBraga Barros,Carlos JTozatti,Hélio V. MSouza,Josiney A Morse decomposition dynamic Morse decomposition one-point compactification 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.30 n.1 20112011-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000100007en10.4067/S0716-09172011000100007
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Morse decomposition dynamic Morse decomposition one-point compactification
spellingShingle	Morse decomposition dynamic Morse decomposition one-point compactification Braga Barros,Carlos J Tozatti,Hélio V. M Souza,Josiney A Examples of Morse decompositions for semigroups actions
description	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.
author	Braga Barros,Carlos J Tozatti,Hélio V. M Souza,Josiney A
author_facet	Braga Barros,Carlos J Tozatti,Hélio V. M Souza,Josiney A
author_sort	Braga Barros,Carlos J
title	Examples of Morse decompositions for semigroups actions
title_short	Examples of Morse decompositions for semigroups actions
title_full	Examples of Morse decompositions for semigroups actions
title_fullStr	Examples of Morse decompositions for semigroups actions
title_full_unstemmed	Examples of Morse decompositions for semigroups actions
title_sort	examples of morse decompositions for semigroups actions
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2011
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000100007
work_keys_str_mv	AT bragabarroscarlosj examplesofmorsedecompositionsforsemigroupsactions AT tozattiheliovm examplesofmorsedecompositionsforsemigroupsactions AT souzajosineya examplesofmorsedecompositionsforsemigroupsactions
_version_	1718439773879664640

Examples of Morse decompositions for semigroups actions

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