Identificador persistente para citar o vincular este elemento:
http://hdl.handle.net/10662/13007
Títulos: | Studies on dendrites and the periodic-recurrent property |
Autores/as: | Balibrea Gallego, Francisco |
Palabras clave: | PR Property;Dendrites;Gehman dendrite;Continua;Propiedad PR;Dendritas;Dendrita de Gehman;Continuos |
Fecha de publicación: | 2010 |
Editor/a: | Universidad de Extremadura, Servicio de Publicaciones |
Resumen: | IIn this paper we evidence the interest of considering three outstanding examples of dendrites with different structures, dendrites F⍵, W and G³. When a dendrite X contains a topological copy of one of them, then it is derived important properties. For example, if X does not contain a topological copy neither F⍵ nor W, then X is a tree. If X does not contain a topological copy of G³ then we obtain that X verifies the Periodic-Recurrent Property (the PR Property) which for dendrites is relevant under the point of view of Topological Dynamics. As an application of the former results, we give a unified proof of the fact that compact intervals of the real line [a; b] (a ≠ b), arcs and trees have also the PR Property. |
URI: | http://hdl.handle.net/10662/13007 |
ISSN: | 0213-8743 |
Colección: | Extracta Mathematicae Vol. 25, nº 3 (2010) |
Archivos
Archivo | Descripción | Tamaño | Formato | |
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2605-5686_25_3_211.pdf | 270,04 kB | Adobe PDF | Descargar |
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