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Article
A Note on Furstenburg Families and Shadowing in Topological Spaces
*Seyyed Alireza AhmadiCorresponding authorsa.ahmadi@math.usb.ac.irDepartment of MathematicsUniversity Of Sistan and BaluchestanZahedan, IranView full profile →
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- Received:
- 10 Dec 2017
- Accepted:
- 25 Mar 2018
- Published Online:
- 16 May 2019
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2018.1564580
- Pages:
- 51–59
Abstract
In this note we use the concepts of lower density and upper density for elements of Furstenburg families to measure the set of error times in the shadowing process in non-metrizable topological spaces. We show that the measure of errors is the same for all iterations of a dynamical system.
Keywords
Subject Classifications
54H20
References
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