Some Chaotic Results of Product on Zero Dimension Spaces

  • Farah Watan Kamel Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Babylon, Iraq
  • Iftichar M. T. AL - Shara’a Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Babylon, Iraq
Keywords: Devaney Chaos, Lypanoveε –unstable, Topological Mixing, Shift of finite type, weakly blending, strongly blending

Abstract

In this work , we study different chaotic properties of the product space on a one-step shift of a finite type, as well as other spaces. We prove that the product  is Lyapunove  â€“unstable if and only if at least one  or  is Lyapunove  â€“unstable. Also, we show that and locally everywhere onto (l.e.o)  if and only if is locally everywhere onto (l.e.o) .

Published
2020-02-28
How to Cite
Kamel, F. W., & AL - Shara’aI. M. T. (2020). Some Chaotic Results of Product on Zero Dimension Spaces. Iraqi Journal of Science, 61(2), 428-434. https://doi.org/10.24996/ijs.2020.61.2.22
Section
Mathematics