Topological Dynamics and Topological Data Analysis

Table of Contents

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   Book Overview
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   Chapter 1 An Overview of Unimodal Inverse Limit Spaces
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   Chapter 2 Dimension Theory of Some Non-Markovian Repellers Part I: A Gentle Introduction
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   Chapter 3 Dimension Theory of Some Non-Markovian Repellers Part II: Dynamically Defined Function Graphs
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   Chapter 4 Iterated Function Systems—A Topological Approach. Attractors
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   Chapter 5 Zero-Dimensional Covers of Dynamical Systems
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   Chapter 6 Chaotic Continua in Chaotic Dynamical Systems
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   Chapter 7 Mandelpinski Necklaces in the Parameter Planes of Rational Maps
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   Chapter 8 Some Examples of Hypercyclic Operators and Universal Sequences of Operators
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    Chapter 9 Some Basic Properties of Hypercyclic Operators
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    Chapter 10 The Testing Ground of Weighted Shift Operators for Hypercyclicity
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    Chapter 11 On $$\delta $$-deformations of Polygonal Dendrites
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    Chapter 12 General Position Theorem and Its Applications
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    Chapter 13 The nth Itarate of a Map with Dense Orbit
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    Chapter 14 Periodic Points of N-Dimensional Toral Automorphisms
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    Chapter 15 Julia Sets in Topological Spaces
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    Chapter 16 Julia Set of Some Graphs Using Independence Polynomials
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    Chapter 17 An Introduction to the Notion of Natural Pseudo-distance in Topological Data Analysis
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    Chapter 18 A Brief Introduction to Multidimensional Persistent Betti Numbers
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    Chapter 19 Some New Methods to Build Group Equivariant Non-expansive Operators in TDA
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    Chapter 20 Topological Stability of the Hippocampal Spatial Map and Synaptic Transience
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    Chapter 21 Intuitionistic Fuzzy Graph Morphological Topology
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    Chapter 22 Some Properties of the Bitopological Space Associated With the 3-Uniform Semigraph of Cycle Graph
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    Chapter 23 Hypergraph Topology