# A general theory of self-similarity II: recognition

@inproceedings{Leinster2004AGT, title={A general theory of self-similarity II: recognition}, author={Tom Leinster}, year={2004} }

This paper concerns the self-similarity of topological spaces, in the sense defined in math.DS/0411344. I show how to recognize self-similar spaces, or more precisely, universal solutions of self-similarity systems. Examples include the standard simplices (self-similar by barycentric subdivision) and solutions of iterated function systems. Perhaps surprisingly, every compact metrizable space is self-similar in at least one way. From this follow the classical results on the role of the Cantor… CONTINUE READING

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## A general theory of self-similarity

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## N ov 2 00 4 A general theory of self-similarity I

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## Coalgebraic Representation Theory of Fractals

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## Coalgebraic Representation Theory of Fractals (Extended Abstract)

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