A general theory of self-similarity

@article{Leinster2010AGT,
  title={A general theory of self-similarity},
  author={Tom Leinster},
  journal={arXiv: Category Theory},
  year={2010}
}
  • Tom Leinster
  • Published 2010
  • Mathematics
  • arXiv: Category Theory
  • A little-known and highly economical characterization of the real interval [0, 1], essentially due to Freyd, states that the interval is homeomorphic to two copies of itself glued end to end, and, in a precise sense, is universal as such. Other familiar spaces have similar universal properties; for example, the topological simplices Delta^n may be defined as the universal family of spaces admitting barycentric subdivision. We develop a general theory of such universal characterizations. This… CONTINUE READING

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