Periodic-recurrent Property of Some Continua
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.
J. J. Charatonik and W. J. Charatonik, "Periodic-recurrent Property of Some Continua," Bulletin of the Australian Mathematical Society, Cambridge University Press, Jan 1997.
The definitive version is available at http://dx.doi.org/10.1017/S0004972700030781
Mathematics and Statistics
Article - Journal
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