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)

 

 

Shadowing property of continuous maps with zero topological entropy


Author: Milan Kuchta
Journal: Proc. Amer. Math. Soc. 119 (1993), 641-648
MSC: Primary 58F08; Secondary 54H20
MathSciNet review: 1165058
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The study of the shadowing property has a long history but for interval maps it is rather new. Recent research in this direction is mainly focused on the positive entropy maps and work for zero entropy is still seldom to be found in the literature. In this paper we give a characterization of zero topological entropy maps which have the shadowing property. Moreover, our condition is necessary for any continuous function to have the shadowing property.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 58F08, 54H20

Retrieve articles in all journals with MSC: 58F08, 54H20


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1993-1165058-X
Keywords: Shadowing property, iteration, zero topological entropy
Article copyright: © Copyright 1993 American Mathematical Society