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Abstract
We show the existence of a dynamical system without any distributionally scrambled pair which is semiconjugated to a distributionally chaotic factor.
Acknowledgements
I sincerely thank my supervisor, Professor Jaroslav Smítal, for valuable guidance. Iam grateful for his constant support and help.
Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Funding
The research was supported by grant SGS/2/2013 from the Silesian University in Opava. Support of this institution is gratefully acknowledged.