Introduction to Algebraic Topology (Part-II)

Por: Swayam . en: , ,

Week-1:What is Algebraic Topology: Notion of Homotopy.
Week-2:Categories and Functors Week-3:Basic Homological Algebra
Week-4:Singular Homology Week-5:Computations with simple objects Week-6:Review of Simplicial complexes and Simplicial homoloy
Week-7:Euler Characteristic, Lefschetz Number
Week-8:Relation between fundamental groups and 1st homology
Week-9:Applications homology: Brouwer’s invariance of domain
Week-10:Applications continued. Lefschetz Fixed point theorem
Week-11:CW complexes and CW homology
Week-12:Discussion for future topics.

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