1. History of Algebraic Topology; Homotopy Equivalence - Pierre Albin

3. Fundamental Group of the Circle - Pierre Albin

2. Path Homotopy; the Fundamental Group - Pierre Albin

21. Homology with Coefficients; Orientation & Covering Spaces - Pierre Albin

27. Beyond Homology: Classifying Lens Spaces - Pierre Albin

6. Applications and Proof of the van Kampen Theorem - Pierre Albin

14. Long Exact Sequence of Pairs/Triples; Excision - Pierre Albin

16. Equivalence of Simplicial and Singular Homology - Pierre Albin

17. Manifolds and Local Homology; Degree of a map - Pierre Albin

22. Orientability with Coefficients - Pierre Albin

15. Proof of the Excision Theorem - Pierre Albin

13. Homotopy Invariance of Homology; Exact Sequences - Pierre Albin

10. Covering Space Actions; the idea of Homology - Pierre Albin

12. Singular Homology; Chain Homotopy - Pierre Albin

20. Euler Characteristic; Mayer-Vietoris Sequence - Pierre Albin

Pierre Albin : Extending the Cheeger-Müller theorem through degeneration

18. Degree of maps between oriented manifolds - Pierre Albin

25. Relating π₁ and H₁; Jordan Curve Theorem - Pierre Albin