Non-classifiability of K-automorphisms - Lecture on Measure-Preserving Transformations

Non-classifiability of K-automorphisms - Lecture on Measure-Preserving Transformations

Simons Semester on Dynamics via YouTube Direct link

Even Kakutani Equivalence

15 of 20

15 of 20

Even Kakutani Equivalence

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Non-classifiability of K-automorphisms - Lecture on Measure-Preserving Transformations

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

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