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Quotient Space Based Problem Solving by Bo Zhang, Ling Zhang

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7.3. Fractal Geometry and Quotient Space Analysis

7.3.1. Introduction

A famous Sierpinski carpet is shown in Fig. 7.2. It’s a typical fractal graph. From the quotient space view point, it’s a chain of quotient spaces, where image has one element, image has four and image has 13 elements. Therefore, the concepts of quotient space and fractal geometry have a close relation. We will discuss them using the quotient space approximation principle in the following sections. ...

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