General self-similarity: An overview

被引：3

作者：

Leinster, Tom ^{[1
]}

机构：

[1] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland

来源：

Real and Complex Singularities | 2007年

关键词：

self-similarity; higher-dimensional algebra; Julia set; Freyd's Theorem; fractal; coalgebra;

D O I：

10.1142/9789812706898_0010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider a self-similar space X. A typical situation is that X looks like several copies of itself glued to several copies of another space Y, and Y looks like several copies of itself glued to several copies of X-or the same kind of thing with more than two spaces. Thus, we have a system of simultaneous equations in which 'higher-dimensional formulas' specify how to glue the spaces together. This idea is developed in detail elsewhere [1,2]. The present account explains the theory in outline.

引用

页码：232 / 247

页数：16

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