Periodic-recurrent Property of Some Continua

Author

J. J. Charatonik
W. J. Charatonik, Missouri University of Science and TechnologyFollow

Abstract

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.

Recommended Citation

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 https://doi.org/10.1017/S0004972700030781

Department(s)

Mathematics and Statistics

International Standard Serial Number (ISSN)

0004-9727

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1997 Cambridge University Press, All rights reserved.

Publication Date

01 Jan 1997