Open AccessSome Chaotic Results of Product on Zero Dimension Spaces
Author(s) -
Farah Watan Kamel,
Iftichar M. T. AL - Sharaâ€TMa
Publication year - 2020
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2020.61.2.22
Subject(s) - chaotic , product (mathematics) , dimension (graph theory) , zero (linguistics) , mathematics , space (punctuation) , pure mathematics , almost everywhere , work (physics) , product topology , type (biology) , mathematical analysis , computer science , physics , geometry , artificial intelligence , quantum mechanics , geology , linguistics , philosophy , operating system , paleontology
In this work , we study different chaotic properties of the product space on a onestep shift of a finite type, as well as other spaces. We prove that the product is Lyapunove ε –unstable if and only if at least one or is Lyapunove ε – unstable. Also, we show that and locally everywhere onto (l.e.o) if and only if is locally everywhere onto (l.e.o) .
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