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Topology

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

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This Shipslides page presents Topology as an interactive HTML presentation deck in the Mathematics catalog with 32 slides. The share page keeps the uploaded deck sandboxed while exposing readable context, topics, and a slide outline for viewers and search engines.

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..

Key sections

  • 01Topo logy.
  • 02Opening What topology is.
  • 03Chapter I Euler's bridges.
  • 04Chapter II The Euler characteristic.
  • 05Chapter III The Möbius strip.
  • 06Chapter IV The Klein bottle.
  • 07Chapter V Point-set topology.
  • 08Chapter VI Open and closed sets.

Topics covered

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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.
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https://shipslides.com/d/mathematics-topology
Category
Mathematics
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760.7 KB
Updated
2026-05-17
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https://shipslides.com/d/mathematics-topology/llms.txt
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