Cantor minimal systems

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Author(s): Putnam, Ian F
Series: UNIVERSITY LECTURE SERIES 70
Publisher: American Mathematical Society
Year: 2018

Language: English
Pages: 149
Tags: Compact spaces.;Cantor sets.;Topological spaces.;Espaces topologiques.;Espaces compacts.

Content: An example: A tale of two equivalence relationsBasics: Cantor sets and orbit equivalenceBratteli diagrams: Generalizing the exampleThe Bratteli-Vershik model: Generalizing the exampleThe Bratteli-Vershik model: CompletenessEtale equivalence relations: Unifying the examplesThe $D$ invariantThe Effros-Handelman-Shen theoremThe Bratteli-Elliott-Krieger theoremStrong orbit equivalenceThe $D_m$ invariantThe absorption theoremThe classification of AF-equivalence relationsThe classification of $\mathbb{Z}$-actionsExamplesBibliographyIndex of terminologyIndex of notation