Composing and Decomposing Surfaces in R^n

Composing and Decomposing Surfaces in R^n

International Mathematical Union via YouTube Direct link

What's the most nonorientable surface?

7 of 12

7 of 12

What's the most nonorientable surface?

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Classroom Contents

Composing and Decomposing Surfaces in R^n

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  1. 1 Intro
  2. 2 Motivation
  3. 3 Warm-up Lipschitz functions
  4. 4 How do you decompose a Lipschitz function?
  5. 5 How can we measure nonorientability?
  6. 6 Quantitative nonorientability for cellular cycles
  7. 7 What's the most nonorientable surface?
  8. 8 Nonorientability is bounded by area
  9. 9 Proof: Decomposing surfaces in Rº
  10. 10 Proof: Conclusion
  11. 11 Nonembeddability of the Heisenberg group
  12. 12 Applications with Naor

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