Sachin Gautam: Topological Entropy

Friday, March 4, 4-5 pm, MW 154

Abstract: I will present the original definition of topological entropy as formulated by Adler, Konheim and McAndrew (1965), and prove its invariance under topological isomorphism. We will compute the topological entropy in some concrete examples. I will also prove that Adler-Konheim-McAndrew definition is equivalent to its subsequent reformulation by Bowen and Dinaburg (1971) in terms of spanning/separating sets and covering numbers, as we saw previously in Hao’s talk.

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