Topological Entropy Of Continuous Transformations On Uniform Spaces

Greatly promote the development of all fields of science with the modern chaos theory and model was proposed. Topological entropy introduced by Adler,Koulaeim and McAndrew for compact dynamical systems. Bowen R. given the Compact metric space on the definition of topological entropy. But it depends upon the selection of measurements of the definition of topological entropy.In this paper we study mainly the topological entropy of continuous transformation on uniform spaces .Through the research, we obtained as follows some results. (1)The topological entropy of uniform spaces coincide with the topological entropy of new definition (2)Obtained some properties (3)Discussed theΔof uniform spaces . The contents of the thesis are outlined below:In Chapter one, we review the history, current development and importanceChapter two, Various definitions of topological entropy and topological entropy of continuous transformation on uniform spaces are mentioned.In Chapter three, we discussed with some properties about topological entropy of continuous transformation on uniform spaces.