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Original Articles
On the Arithmetic Difference of Affine Cantor Sets
B. Honaryb-honary@cc.sbu.ac.irDepartment of Mathematics, Shahid Beheshti UniversityTehran, 19384, IranView full profile → , M. Pourbaratm-pourbarat@sbu.ac.irDepartment of Mathematics, Shahid Beheshti UniversityDept. of Math, Shahid Beheshti UniversityTehran, IranView full profile → , M.R. VelayatiDepartment of Mathematics, Shahid Beheshti UniversityTehran, IranView full profile →
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- Received:
- 05 Dec 2005
- Published Online:
- 01 Nov 2006
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2006.10698511
- Pages:
- 139–146
Abstract
In this paper we construct a recurrent compact set for the relative configurations set of special affine Cantor sets. This will produce a class of examples of Cantor sets such that their arithmetic difference contains an interval, while their thickness product is less than one.
Keywords
References
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