Lecture 1 - Basics of Topology
Lecture 2 - Some Topological Constructions and Homotopy
Lecture 3 - Retraction and Deformation Retraction
Lecture 4 - Contractible Spaces and Null Homotopy
Lecture 5 - Some Questions
Lecture 6 - Simplicial Complex 1
Lecture 7 - Simplicial Complex 2
Lecture 8 - Simplicial Complex 3
Lecture 9 - Simplicial Complex 3 Delta Complex
Lecture 10 - Path Homotopy
Lecture 11 - The Fundamental Group
Lecture 12 - Covering Spaces
Lecture 13 - Path Lifting
Lecture 14 - Homotopy Lifting
Lecture 15 - The Fundamental Group of a Circle
Lecture 16 - The Induced Homomorphism
Lecture 17 - Applications
Lecture 18 - The Fundamental Group of a Sphere
Lecture 19 - Free Product of Groups
Lecture 20 - Seifert-Van Kampen Theorem 1
Lecture 21 - Seifert-Van Kampen Theorem 2
Lecture 22 - Lifting correspondence and Lifting criterion
Lecture 23 - Classification of Covering Spaces 1
Lecture 24 - Classification of Covering Spaces 2
Lecture 25 - Classification of Covering Spaces 3
Lecture 26 - The Group of Deck transformations
Lecture 27 - Action of Deck Transformations
Lecture 28 - Graphs and Free Groups
Lecture 29 - Free modules and chain complexes
Lecture 30 - Notation and conventions
Lecture 31 - The Simplicial Chain Complex
Lecture 32 - Simplicial Homology : Examples
Lecture 33 - Few results about Homology
Lecture 34 - Relative Homology
Lecture 35 - Induced homomorphism 1
Lecture 36 - Induced homomorphism 2 Homology of a cone
Lecture 37 - Induced homomorphism 3 Contiguous maps
Lecture 38 - Induced homomorphism 4 Simplicial approximations and barycentric subdivisions
Lecture 39 - Induced homomorphism 5 Invariance of homology under barycentric subdivision
Lecture 40 - Homotopy invariance of induced homomorphism
Lecture 41 - Finite vs Infinite simplicial complex
Lecture 42 - Applications
Lecture 43 - Exact sequences
Lecture 44 - Zigzag Lemma
Lecture 45 - Naturality
Lecture 46 - Mayer-Vietoris Sequences
Lecture 47 - Excision
Lecture 48 - Local Homology
Lecture 49 - Maps of spheres
Lecture 50 - Hopf trace theorem
Lecture 51 - Hopf trace theorem and Euler number
Lecture 52 - Lefschetz fixed-point theorem
Lecture 53 - Jordan curve theorem
Lecture 54 - A glimpse of singular homology
Lecture 55 - Axioms for homology
