Corpus ID: 117060272

A general theory of self-similarity II: recognition

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

    Citations

    Publications citing this paper.
    SHOWING 1-5 OF 5 CITATIONS

    A general theory of self-similarity

    VIEW 1 EXCERPT
    CITES BACKGROUND

    Coalgebraic Representation Theory of Fractals

    VIEW 1 EXCERPT
    CITES METHODS

    Coalgebraic Representation Theory of Fractals (Extended Abstract)

    VIEW 8 EXCERPTS
    CITES BACKGROUND & METHODS
    HIGHLY INFLUENCED

    Final coalgebras in accessible categories