A general theory of self-similarity II: recognition

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dc.creatorLeinster, Tom
dc.date2004-11-15
dc.date.accessioned2026-07-07T05:14:21Z
dc.date.available2026-07-07T05:14:21Z
dc.descriptionThis 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 set among compact metrizable spaces.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/0411345
dc.identifierhttp://arxiv.org/abs/math/0411345
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73247
dc.subjectDynamical Systems
dc.subjectCategory Theory
dc.subjectGeneral Topology
dc.titleA general theory of self-similarity II: recognition
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