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Cantor Minimal Systems
About this Title
Ian F. Putnam, University of Victoria, Victoria, BC, Canada
Publication: University Lecture Series
Publication Year:
2018; Volume 70
ISBNs: 978-1-4704-4115-9 (print); 978-1-4704-4731-1 (online)
DOI: https://doi.org/10.1090/ulect/070
MathSciNet review: MR3791491
MSC: Primary 37-02; Secondary 20F60, 37B05
Table of Contents
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Front/Back Matter
Chapters
- An example: A tale of two equivalence relations
- Basics: Cantor sets and orbit equivalence
- Bratteli diagrams: Generalizing the example
- The Bratteli-Vershik model: Generalizing the example
- The Bratteli-Vershik model: Completeness
- Étale equivalence relations: Unifying the examples
- The $D$ invariant
- The Effros-Handelman-Shen theorem
- The Bratteli-Elliott-Krieger theorem
- Strong orbit equivalence
- The $D_m$ invariant
- The absorption theorem
- The classification of AF-equivalence relations
- The classification of $\mathbb {Z}$-actions
- Examples