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
收藏
页码：232 / 247
页数：16
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