Ulrich Bauer - Persistence Diagrams as Diagrams

Ulrich Bauer - Persistence Diagrams as Diagrams

Applied Algebraic Topology Network via YouTube Direct link

The algebraic stability theorem categorically

17 of 19

17 of 19

The algebraic stability theorem categorically

Class Central Classrooms beta

YouTube videos curated by Class Central.

Classroom Contents

Ulrich Bauer - Persistence Diagrams as Diagrams

Automatically move to the next video in the Classroom when playback concludes

  1. 1 Intro
  2. 2 Archaeology of persistence
  3. 3 The many faces of persistence
  4. 4 Inerval decompositions and persistence modules
  5. 5 Persistence and stability: the big picture
  6. 6 The category of matchings
  7. 7 From barcodes to matching diagrams (and back)
  8. 8 A category of barcodes
  9. 9 Bottleneck distance as an interleaving distance
  10. 10 Non-functorality of persistence barcodes
  11. 11 Structure of persistence sub quotient modules
  12. 12 Persistence sub-/quotient modules and their matching diagrams
  13. 13 Algebraic stability via induced matchings
  14. 14 The categorified induced matching theorem
  15. 15 A general criterion for trivial colkernels
  16. 16 The induced matching theorem for monos and epis
  17. 17 The algebraic stability theorem categorically
  18. 18 Barcodes from scratch
  19. 19 A rank formula for barcodes

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.