Abstract
In this paper it is shown that homeomorphisms of hereditarily decomposable chainable continua cannot have periodic points whose periods are not powers of two. Examples show that for each power of two there is a hereditarily decomposable chainable continuum and a homeomorphism of it which has a periodic point of period that power of two. © 1989 American Mathematical Society.
Recommended Citation
W. T. Ingram, "Periodic Points For Homeomorphisms Of Hereditarily Decomposable Chainable Continua," Proceedings of the American Mathematical Society, vol. 107, no. 2, pp. 549 - 553, American Mathematical Society, Jan 1989.
The definitive version is available at https://doi.org/10.1090/S0002-9939-1989-0984796-1
Department(s)
Mathematics and Statistics
Keywords and Phrases
Atriodic; Chainable continuum; Indecomposable continuum; Inverse limit; Periodic point; Unicoherent
International Standard Serial Number (ISSN)
1088-6826; 0002-9939
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2023 American Mathematical Society, All rights reserved.
Publication Date
01 Jan 1989
