# Topology

Canonical URL: https://shipslides.com/d/mathematics-topology
Raw HTML URL: https://content.shipslides.com/d/mathematics-topology/raw
Category: Mathematics
Slides: 32
Updated: 2026-05-15T22:18:41.189Z
Tags: mathematics, topology

## Summary

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..

## Slide Outline

1. Topo logy.
2. Opening What topology is.
3. Chapter I Euler's bridges.
4. Chapter II The Euler characteristic.
5. Chapter III The Möbius strip.
6. Chapter IV The Klein bottle.
7. Chapter V Point-set topology.
8. Chapter VI Open and closed sets.
9. Chapter VII Continuous maps.
10. Chapter VIII Compactness.
11. Chapter IX Connectedness.
12. Chapter X The algebraic turn.
13. Chapter XI Homotopy.
14. Chapter XII Homology.
15. Chapter XIII The fundamental group.
16. Chapter XIV Knot theory.
17. Chapter XV Reidemeister moves.
18. Chapter XVI Knot invariants.
19. Chapter XVII Three-manifolds.
20. Chapter XVIII The Poincaré conjecture.
21. Chapter XIX Perelman's proof.
22. Chapter XX Differential topology.
23. Chapter XXI Manifolds.
24. Chapter XXII Exotic spheres.
25. Chapter XXIII Topological matter.
26. Chapter XXIV Persistent homology.
27. Chapter XXV Knots in DNA.
28. Chapter XXVI Reading list.
29. Chapter XXVII Watch & read.
30. Chapter XXVIII 2026.
31. Chapter XXIX The constants.
32. The end of the deck.

## Related Decks

- [Algebra](https://shipslides.com/d/mathematics-algebra)
- [Applied Mathematics](https://shipslides.com/d/mathematics-applied-math)
- [Calculus](https://shipslides.com/d/mathematics-calculus)
- [Cryptography](https://shipslides.com/d/mathematics-cryptography)