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What is meant by a classification?
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Classroom Contents
Non-classifiability of K-automorphisms - Lecture on Measure-Preserving Transformations
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- 1 Intro
- 2 The Isomorphism Problem
- 3 Weak Topology on MPT's
- 4 What is meant by a classification?
- 5 Borel Reduction of Equivalence Relations
- 6 Another benchmark: The equivalence relation =+
- 7 Borel Equivalence Relations
- 8 von Neumann's classification problem is impossible
- 9 Several further questions
- 10 K-automorphisms
- 11 First return map
- 12 Some methods for constructing K automorphisms
- 13 Classification for Generic Subsets of MPT's
- 14 Special flows over a transformation
- 15 Even Kakutani Equivalence
- 16 Anti-classification results for Kakutani equivalence
- 17 Basics of Descriptive Set Theory
- 18 Example of an analytic set
- 19 Canonical example of a complete analytic set
- 20 Non-classifiability of Smooth K-Diffeomorphisms
