Learn · Introduction to Algebraic Topology (Part-I)

Lecture 64 of 65Live Session

Live Session 24-02-2021

Prof. Anant R. Shastri · IIT Bombay

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Introduction to Algebraic Topology (Part-I), IIT Bombay (at NPTEL)
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All the lectures

  1. Lecture 1 : Basic Problem in Topology Video
  2. Lecture 2 : Concept of homotopy Video
  3. Lecture 3 : Bird's eye-view of the course Video
  4. Lecture 4 : Path Homotopy Video
  5. Lecture 5 : Composition of paths Video
  6. Lecture 6 : Fundamental group π1 Video
  7. Lecture 7 : Computation of Fund. Group of a circle Video
  8. Lecture 8 : Computation continued Video
  9. Lecture 9 : Computation concluded Video
  10. Lecture 10 : Van-Kampen's Theorem Video
  11. Lecture 11 : Function Spaces Video
  12. Lecture 12 : Quotient Maps Video
  13. Lecture 13 : Group Actions Video
  14. Lecture 14 : Examples of Group Actions Video
  15. Lecture 15 : Assorted Results on Quotient Spaces Video
  16. Lecture 16 : Quotient Constructions Typical to Alg. Top. Video
  17. Lecture 17 : Quotient Constructions continued Video
  18. Lecture 18 : Relative Homotopy Video
  19. Lecture 19 : Construction of a typical SDR Video
  20. Lecture 20 : Generalized construction of SDRs Video
  21. Lecture 21 : A theoretical application Video
  22. Lecture 22 : The Harvest Video
  23. Lecture 23 : NDR pairs Video
  24. Lecture 24 : General Remarks Video
  25. Lecture 25 : Basics A ne Geometry Video
  26. Lecture 26 : Abstract Simplicial Complex Video
  27. Lecture 27 : Geometric Realization Video
  28. Lecture 28 : Topology on |K| Video
  29. Lecture 29 : Simplical maps Video
  30. Lecture 30 : Polyhedrons Video
  31. Lecture 31 : Point Set topological Aspects Video
  32. Lecture 32 : Barycentric Subdivision Video
  33. Lecture 33 : Finer Subdivisions Video
  34. Lecture 34 : Simplical Approximation Video
  35. Lecture 35 : Sperner Lemma Video
  36. Lecture 36 : Invariance of domain Video
  37. Lecture 37 : Proof of controled homotopy Video
  38. Lecture 38 : Links and Stars Video
  39. Lecture 39 : Homotopical Aspects of Simplicial Complexes Video
  40. Lecture 40 : Homotopical Aspects Video
  41. Lecture 41 : Covering Spaces and Fund. Groups Video
  42. Lecture 42 : Lifting Properties Video
  43. Lecture 43 : Homotopy Lifting Video
  44. Lecture 44 : Relation with the fund. Group Video
  45. Lecture 45 : Regular covering Video
  46. Lecture 46 : Lifting Problem Video
  47. Lecture 47 : Classification of Coverings Video
  48. Lecture 48 : Classification Video
  49. Lecture 49 : Existence of Simply connected coverings Video
  50. Lecture 50 : Construction of Simply connected covering Video
  51. Lecture 51 : Properties Shared by total space and base Video
  52. Lecture 52 : Examples Video
  53. Lecture 53 : G-coverings Video
  54. Lecture 54 : Pull-backs Video
  55. Week 11 : Lecture 55 Video
  56. Lecture 56 : Proof of classification Video
  57. Lecture 57 : Pushouts and Free products Video
  58. Lecture 58 : Existence of Free Products, pushouts Video
  59. Lecture 59 : Free Products and free groups Video
  60. Lecture 60 : Seifert-Van Kampen Theorems Video
  61. Lecture 61 : Applications Video
  62. Lecture 62 : Applications continued Video
  63. Live Session 05-02-2021 Video
  64. Live Session 24-02-2021 Video
  65. Live Session 19-03-2021 Video