Transitivity and Minimality of Sets

Dana Mawlood Mohammed^1,

¹Institute of Training and Educational Development, Sulaimani

Cite this paper:
Dana Mawlood Mohammed. Transitivity and Minimality of Sets. Turkish Journal of Analysis and Number Theory. 2018; 6(5):149-151. doi: 10.12691/tjant-6-5-5

Abstract

In this paper, we have study some concepts of minimal open, closed sets and minimal functions. Further, we have shown that these properties preserved under conjugate maps.

Keywords:
minimal open sets minimal functions transitivity

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References:

[1]	Bruckner A. M., Hu Thakyin On scrambled sets for chaotic functions,Trans. Amer. Math. Soc. 301.1 (1987), 289-297.
[2]	Anuradha N1 and Baby Chacko2, On Minimal Regular Open Sets and Maps in Topological Spaces, Journal of Computer and Mathematical Sciences, Vol.6(4), April 2015. Pp. 182-192.
[3]	A. KAMEYAMA, TOPOLOGICAL TRANSITIVITY AND STRONG TRANSITIVITY, Acta Math. Univ. Comenianae Vol. LXXI, 2(2002), pp. 139-145.
[4]	Mohammed Nokhas Murad Kaki, Introduction to Topological Dynamical Systems II, Lambert academic publisher, Germany.
[5]	P.S. Aleksandrov, H. HopfTopologieSpringer Verlag, Berlin (1935).