1:03:411. History of Algebraic Topology; Homotopy Equivalence - Pierre Albin
A 64-minute video from Mat Neth: “1. History of Algebraic Topology; Homotopy Equivalence - Pierre Albin”.
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1:03:41
1:17:3410. Covering Space Actions; the idea of Homology - Pierre Albin
A 78-minute video from Mat Neth: “10. Covering Space Actions; the idea of Homology - Pierre Albin”.
1:19:4011. ∆-Complexes; Simplicial Homology - Pierre Albin
A 80-minute video from Mat Neth: “11. ∆-Complexes; Simplicial Homology - Pierre Albin”.
1:19:5412. Singular Homology; Chain Homotopy - Pierre Albin
A 80-minute video from Mat Neth: “12. Singular Homology; Chain Homotopy - Pierre Albin”.
1:16:2013. Homotopy Invariance of Homology; Exact Sequences - Pierre Albin
A 76-minute video from Mat Neth: “13. Homotopy Invariance of Homology; Exact Sequences - Pierre Albin”.
1:15:3014. Long Exact Sequence of Pairs/Triples; Excision - Pierre Albin
A 76-minute video from Mat Neth: “14. Long Exact Sequence of Pairs/Triples; Excision - Pierre Albin”.
1:19:0815. Proof of the Excision Theorem - Pierre Albin
A 79-minute video from Mat Neth: “15. Proof of the Excision Theorem - Pierre Albin”.
1:19:5716. Equivalence of Simplicial and Singular Homology - Pierre Albin
A 80-minute video from Mat Neth: “16. Equivalence of Simplicial and Singular Homology - Pierre Albin”.
1:14:1817. Manifolds and Local Homology; Degree of a map - Pierre Albin
A 74-minute video from Mat Neth: “17. Manifolds and Local Homology; Degree of a map - Pierre Albin”.
1:14:2718. Degree of maps between oriented manifolds - Pierre Albin
A 74-minute video from Mat Neth: “18. Degree of maps between oriented manifolds - Pierre Albin”.
1:13:1119. Homology of Cell Complexes - Pierre Albin
A 73-minute video from Mat Neth: “19. Homology of Cell Complexes - Pierre Albin”.
1:16:022. Path Homotopy; the Fundamental Group - Pierre Albin
A 76-minute video from Mat Neth: “2. Path Homotopy; the Fundamental Group - Pierre Albin”.
1:17:1820. Euler Characteristic; Mayer-Vietoris Sequence - Pierre Albin
A 77-minute video from Mat Neth: “20. Euler Characteristic; Mayer-Vietoris Sequence - Pierre Albin”.
1:12:0422. Orientability with Coefficients - Pierre Albin
A 72-minute video from Mat Neth: “22. Orientability with Coefficients - Pierre Albin”.
1:07:1424. Axioms for Homology; Bordism Homology - Pierre Albin
A 67-minute video from Mat Neth: “24. Axioms for Homology; Bordism Homology - Pierre Albin”.
1:14:4025. Relating π₁ and H₁; Jordan Curve Theorem - Pierre Albin
A 75-minute video from Mat Neth: “25. Relating π₁ and H₁; Jordan Curve Theorem - Pierre Albin”.
1:19:0126. Jordan Curve; Invariance of Domain; Lefschetz Fixed Point - Pierre Albin
A 79-minute video from Mat Neth: “26. Jordan Curve; Invariance of Domain; Lefschetz Fixed Point - Pierre Albin”.
1:14:2927. Beyond Homology: Classifying Lens Spaces - Pierre Albin
A 74-minute video from Mat Neth: “27. Beyond Homology: Classifying Lens Spaces - Pierre Albin”.
1:08:593. Fundamental Group of the Circle - Pierre Albin
A 69-minute video from Mat Neth: “3. Fundamental Group of the Circle - Pierre Albin”.
1:17:314. Applications of π₁(S¹); Induced Homomorphisms - Pierre Albin
A 78-minute video from Mat Neth: “4. Applications of π₁(S¹); Induced Homomorphisms - Pierre Albin”.
1:18:315. Induced Homomorphisms; van Kampen Theorem - Pierre Albin
A 79-minute video from Mat Neth: “5. Induced Homomorphisms; van Kampen Theorem - Pierre Albin”.
1:11:146. Applications and Proof of the van Kampen Theorem - Pierre Albin
A 71-minute video from Mat Neth: “6. Applications and Proof of the van Kampen Theorem - Pierre Albin”.
1:19:117. Covering Spaces; Lifting Criterion - Pierre Albin
A 79-minute video from Mat Neth: “7. Covering Spaces; Lifting Criterion - Pierre Albin”.
1:16:508. Universal Covers; Application to Free Groups - Pierre Albin
A 77-minute video from Mat Neth: “8. Universal Covers; Application to Free Groups - Pierre Albin”.
1:12:509. Classification of Covering Spaces; Deck Transformations - Pierre Albin
A 73-minute video from Mat Neth: “9. Classification of Covering Spaces; Deck Transformations - Pierre Albin”.