| Module Name | Download |
|---|
| Sl.No | Chapter Name | MP4 Download |
|---|---|---|
| 1 | Lecture 1 : Basic Problem in Topology | Download |
| 2 | Lecture 2 : Concept of homotopy | Download |
| 3 | Lecture 3 : Bird's eye-view of the course | Download |
| 4 | Lecture 4 : Path Homotopy | Download |
| 5 | Lecture 5 : Composition of paths | Download |
| 6 | Lecture 6 : Fundamental group π1 | Download |
| 7 | Lecture 7 : Computation of Fund. Group of a circle | Download |
| 8 | Lecture 8 : Computation continued | Download |
| 9 | Lecture 9 : Computation concluded | Download |
| 10 | Lecture 10 : Van-Kampen's Theorem | Download |
| 11 | Lecture 11 : Function Spaces | Download |
| 12 | Lecture 12 : Quotient Maps | Download |
| 13 | Lecture 13 : Group Actions | Download |
| 14 | Lecture 14 : Examples of Group Actions | Download |
| 15 | Lecture 15 : Assorted Results on Quotient Spaces | Download |
| 16 | Lecture 16 : Quotient Constructions Typical to Alg. Top. | Download |
| 17 | Lecture 17 : Quotient Constructions continued | Download |
| 18 | Lecture 18 : Relative Homotopy | Download |
| 19 | Lecture 19 : Construction of a typical SDR | Download |
| 20 | Lecture 20 : Generalized construction of SDRs | Download |
| 21 | Lecture 21 : A theoretical application | Download |
| 22 | Lecture 22 : The Harvest | Download |
| 23 | Lecture 23 : NDR pairs | Download |
| 24 | Lecture 24 : General Remarks | Download |
| 25 | Lecture 25 : Basics A ne Geometry | Download |
| 26 | Lecture 26 : Abstract Simplicial Complex | Download |
| 27 | Lecture 27 : Geometric Realization | Download |
| 28 | Lecture 28 : Topology on |K| | Download |
| 29 | Lecture 29 : Simplical maps | Download |
| 30 | Lecture 30 : Polyhedrons | Download |
| 31 | Lecture 31 : Point Set topological Aspects | Download |
| 32 | Lecture 32 : Barycentric Subdivision | Download |
| 33 | Lecture 33 : Finer Subdivisions | Download |
| 34 | Lecture 34 : Simplical Approximation | Download |
| 35 | Lecture 35 : Sperner Lemma | Download |
| 36 | Lecture 36 : Invariance of domain | Download |
| 37 | Lecture 37 : Proof of controled homotopy | Download |
| 38 | Lecture 38 : Links and Stars | Download |
| 39 | Lecture 39 : Homotopical Aspects of Simplicial Complexes | Download |
| 40 | Lecture 40 : Homotopical Aspects | Download |
| 41 | Lecture 41 : Covering Spaces and Fund. Groups | Download |
| 42 | Lecture 42 : Lifting Properties | Download |
| 43 | Lecture 43 : Homotopy Lifting | Download |
| 44 | Lecture 44 : Relation with the fund. Group | Download |
| 45 | Lecture 45 : Regular covering | Download |
| 46 | Lecture 46 : Lifting Problem | Download |
| 47 | Lecture 47 : Classification of Coverings | Download |
| 48 | Lecture 48 : Classification | Download |
| 49 | Lecture 49 : Existence of Simply connected coverings | Download |
| 50 | Lecture 50 : Construction of Simply connected covering | Download |
| 51 | Lecture 51 : Properties Shared by total space and base | Download |
| 52 | Lecture 52 : Examples | Download |
| 53 | Lecture 53 : G-coverings | Download |
| 54 | Lecture 54 : Pull-backs | Download |
| 55 | Lecture 55 : Classification of G-coverings | Download |
| 56 | Lecture 56 : Proof of classification | Download |
| 57 | Lecture 57 : Pushouts and Free products | Download |
| 58 | Lecture 58 : Existence of Free Products, pushouts | Download |
| 59 | Lecture 59 : Free Products and free groups | Download |
| 60 | Lecture 60 : Seifert-Van Kampen Theorems | Download |
| 61 | Lecture 61 : Applications | Download |
| 62 | Lecture 62 : Applications continued | Download |
| Sl.No | Chapter Name | English |
|---|---|---|
| 1 | Lecture 1 : Basic Problem in Topology | PDF unavailable |
| 2 | Lecture 2 : Concept of homotopy | PDF unavailable |
| 3 | Lecture 3 : Bird's eye-view of the course | PDF unavailable |
| 4 | Lecture 4 : Path Homotopy | PDF unavailable |
| 5 | Lecture 5 : Composition of paths | PDF unavailable |
| 6 | Lecture 6 : Fundamental group π1 | PDF unavailable |
| 7 | Lecture 7 : Computation of Fund. Group of a circle | PDF unavailable |
| 8 | Lecture 8 : Computation continued | PDF unavailable |
| 9 | Lecture 9 : Computation concluded | PDF unavailable |
| 10 | Lecture 10 : Van-Kampen's Theorem | PDF unavailable |
| 11 | Lecture 11 : Function Spaces | PDF unavailable |
| 12 | Lecture 12 : Quotient Maps | PDF unavailable |
| 13 | Lecture 13 : Group Actions | PDF unavailable |
| 14 | Lecture 14 : Examples of Group Actions | PDF unavailable |
| 15 | Lecture 15 : Assorted Results on Quotient Spaces | PDF unavailable |
| 16 | Lecture 16 : Quotient Constructions Typical to Alg. Top. | PDF unavailable |
| 17 | Lecture 17 : Quotient Constructions continued | PDF unavailable |
| 18 | Lecture 18 : Relative Homotopy | PDF unavailable |
| 19 | Lecture 19 : Construction of a typical SDR | PDF unavailable |
| 20 | Lecture 20 : Generalized construction of SDRs | PDF unavailable |
| 21 | Lecture 21 : A theoretical application | PDF unavailable |
| 22 | Lecture 22 : The Harvest | PDF unavailable |
| 23 | Lecture 23 : NDR pairs | PDF unavailable |
| 24 | Lecture 24 : General Remarks | PDF unavailable |
| 25 | Lecture 25 : Basics A ne Geometry | PDF unavailable |
| 26 | Lecture 26 : Abstract Simplicial Complex | PDF unavailable |
| 27 | Lecture 27 : Geometric Realization | PDF unavailable |
| 28 | Lecture 28 : Topology on |K| | PDF unavailable |
| 29 | Lecture 29 : Simplical maps | PDF unavailable |
| 30 | Lecture 30 : Polyhedrons | PDF unavailable |
| 31 | Lecture 31 : Point Set topological Aspects | PDF unavailable |
| 32 | Lecture 32 : Barycentric Subdivision | PDF unavailable |
| 33 | Lecture 33 : Finer Subdivisions | PDF unavailable |
| 34 | Lecture 34 : Simplical Approximation | PDF unavailable |
| 35 | Lecture 35 : Sperner Lemma | PDF unavailable |
| 36 | Lecture 36 : Invariance of domain | PDF unavailable |
| 37 | Lecture 37 : Proof of controled homotopy | PDF unavailable |
| 38 | Lecture 38 : Links and Stars | PDF unavailable |
| 39 | Lecture 39 : Homotopical Aspects of Simplicial Complexes | PDF unavailable |
| 40 | Lecture 40 : Homotopical Aspects | PDF unavailable |
| 41 | Lecture 41 : Covering Spaces and Fund. Groups | PDF unavailable |
| 42 | Lecture 42 : Lifting Properties | PDF unavailable |
| 43 | Lecture 43 : Homotopy Lifting | PDF unavailable |
| 44 | Lecture 44 : Relation with the fund. Group | PDF unavailable |
| 45 | Lecture 45 : Regular covering | PDF unavailable |
| 46 | Lecture 46 : Lifting Problem | PDF unavailable |
| 47 | Lecture 47 : Classification of Coverings | PDF unavailable |
| 48 | Lecture 48 : Classification | PDF unavailable |
| 49 | Lecture 49 : Existence of Simply connected coverings | PDF unavailable |
| 50 | Lecture 50 : Construction of Simply connected covering | PDF unavailable |
| 51 | Lecture 51 : Properties Shared by total space and base | PDF unavailable |
| 52 | Lecture 52 : Examples | PDF unavailable |
| 53 | Lecture 53 : G-coverings | PDF unavailable |
| 54 | Lecture 54 : Pull-backs | PDF unavailable |
| 55 | Lecture 55 : Classification of G-coverings | PDF unavailable |
| 56 | Lecture 56 : Proof of classification | PDF unavailable |
| 57 | Lecture 57 : Pushouts and Free products | PDF unavailable |
| 58 | Lecture 58 : Existence of Free Products, pushouts | PDF unavailable |
| 59 | Lecture 59 : Free Products and free groups | PDF unavailable |
| 60 | Lecture 60 : Seifert-Van Kampen Theorems | PDF unavailable |
| 61 | Lecture 61 : Applications | PDF unavailable |
| 62 | Lecture 62 : Applications continued | PDF unavailable |
| Sl.No | Language | Book link |
|---|---|---|
| 1 | English | Not Available |
| 2 | Bengali | Not Available |
| 3 | Gujarati | Not Available |
| 4 | Hindi | Not Available |
| 5 | Kannada | Not Available |
| 6 | Malayalam | Not Available |
| 7 | Marathi | Not Available |
| 8 | Tamil | Not Available |
| 9 | Telugu | Not Available |