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Periodic-recurrent property of some continua

Published online by Cambridge University Press:  17 April 2009

Janusz J. Charatonik  and
Wlodzimierz J. Charatonik
Janusz J. Charatonik
Affiliation:
Mathematical InstituteUniversity of WroclawPl. Grunwaldzki 2/450-384 WroclawPoland e-mail: jjc@hera.math.uni.wroc.pljjc@gauss.matem.unam.mx
Wlodzimierz J. Charatonik
Affiliation:
Departamento de MatemáticasFacultad de CienciasCiudad Universitaria04510 MexicoD.F.México e-mail: wjcharat@hera.math.uni.wroc.plwjcharat@lya.fciencias.unam.mx
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Abstract

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The equality between the closures of the sets of periodic and of recurrent points (called the periodic-recurrent property) is extended from mappings of a tree to mappings defined on a λ-dendroid obtained as a compactification of the complement of a finite subset of a tree provided that the components of the remainder have the same finite depth and each has the periodic-recurrent property.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 56 , Issue 1 , August 1997 , pp. 109 - 118
Copyright
Copyright © Australian Mathematical Society 1997

References

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