Johnathan Bush - Maps of Čech and Vietoris–Rips Complexes into Euclidean Spaces

Johnathan Bush - Maps of Čech and Vietoris–Rips Complexes into Euclidean Spaces

Applied Algebraic Topology Network via YouTube Direct link

The moment curve

7 of 11

7 of 11

The moment curve

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Classroom Contents

Johnathan Bush - Maps of Čech and Vietoris–Rips Complexes into Euclidean Spaces

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  1. 1 Intro
  2. 2 Simplicial complexes
  3. 3 Geometrie realization
  4. 4 A different topology
  5. 5 Metric thickening
  6. 6 Euclidean realization (again)
  7. 7 The moment curve
  8. 8 Trigonometric moment curves
  9. 9 The centrally-symmetrie trigonometric moment eurve
  10. 10 Questions
  11. 11 References

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