Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Maps of the interval with closed periodic set


Author: Zbigniew Nitecki
Journal: Proc. Amer. Math. Soc. 85 (1982), 451-456
MSC: Primary 58F20; Secondary 54H20
DOI: https://doi.org/10.1090/S0002-9939-1982-0656122-2
MathSciNet review: 656122
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We show that for any continuous map of the interval whose periodic points form a closed set, every nonwandering point is periodic with least period a power of two.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 58F20, 54H20

Retrieve articles in all journals with MSC: 58F20, 54H20


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1982-0656122-2
Keywords: Maps of the interval, periodic points, nonwandering points, homoclinic points
Article copyright: © Copyright 1982 American Mathematical Society