Periodic points for homeomorphisms of hereditarily decomposable chainable continua
Proceedings of the American Mathematical Society, ISSN: 1088-6826, Vol: 107, Issue: 2, Page: 549-553
1989
- 10Citations
- 5Usage
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Metrics Details
- Citations10
- Citation Indexes10
- 10
- CrossRef4
- Usage5
- Downloads4
- Abstract Views1
Article Description
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.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84966229038&origin=inward; http://dx.doi.org/10.1090/s0002-9939-1989-0984796-1; https://www.ams.org/proc/1989-107-02/S0002-9939-1989-0984796-1/; http://www.ams.org/proc/1989-107-02/S0002-9939-1989-0984796-1/S0002-9939-1989-0984796-1.pdf; https://www.ams.org/proc/1989-107-02/S0002-9939-1989-0984796-1/S0002-9939-1989-0984796-1.pdf; http://www.ams.org/jourcgi/jour-getitem?pii=S0002-9939-1989-0984796-1; https://scholarsmine.mst.edu/math_stat_facwork/1415; https://scholarsmine.mst.edu/cgi/viewcontent.cgi?article=2468&context=math_stat_facwork; https://dx.doi.org/10.1090/s0002-9939-1989-0984796-1; https://www.ams.org/journals/proc/1989-107-02/S0002-9939-1989-0984796-1/
American Mathematical Society (AMS)
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