shipslides
Math32 slides0 views

Topology

Geometry minus distance. The study of properties that survive continuous deformation.

Standalone
Sandboxed deck
Open raw

About this deck

Geometry minus distance. The study of properties that survive continuous deformation. Key sections include: Topo logy.; Opening What topology is.; Chapter I Euler's bridges.; Chapter II The Euler characteristic.; Chapter III The Möbius strip.; Chapter IV The Klein bottle.; Chapter V Point-set topology.; Chapter VI Open and closed sets.; Chapter VII Continuous maps.; Chapter VIII Compactness..

mathematicstopology

Related decks

Math31 slides

Algebra

Math32 slides

Applied Mathematics

Math33 slides

Calculus

Math32 slides

Cryptography

Slide outline
  1. 01Topo logy.
  2. 02Opening What topology is.
  3. 03Chapter I Euler's bridges.
  4. 04Chapter II The Euler characteristic.
  5. 05Chapter III The Möbius strip.
  6. 06Chapter IV The Klein bottle.
  7. 07Chapter V Point-set topology.
  8. 08Chapter VI Open and closed sets.
  9. 09Chapter VII Continuous maps.
  10. 10Chapter VIII Compactness.
  11. 11Chapter IX Connectedness.
  12. 12Chapter X The algebraic turn.
  13. 13Chapter XI Homotopy.
  14. 14Chapter XII Homology.
  15. 15Chapter XIII The fundamental group.
  16. 16Chapter XIV Knot theory.
  17. 17Chapter XV Reidemeister moves.
  18. 18Chapter XVI Knot invariants.
  19. 19Chapter XVII Three-manifolds.
  20. 20Chapter XVIII The Poincaré conjecture.
  21. 21Chapter XIX Perelman's proof.
  22. 22Chapter XX Differential topology.
  23. 23Chapter XXI Manifolds.
  24. 24Chapter XXII Exotic spheres.
  25. 25Chapter XXIII Topological matter.
  26. 26Chapter XXIV Persistent homology.
  27. 27Chapter XXV Knots in DNA.
  28. 28Chapter XXVI Reading list.
  29. 29Chapter XXVII Watch & read.
  30. 30Chapter XXVIII 2026.
  31. 31Chapter XXIX The constants.
  32. 32The end of the deck.
Page data
Canonical
https://shipslides.com/d/mathematics-topology
Category
Mathematics
Size
760.7 KB
Updated
2026-05-15
LLM text
https://shipslides.com/d/mathematics-topology/llms.txt
Remove this deck