MA 232: Introduction to algebraic topology

Credits: 3:0

The fundamental group: Homotopy of maps, multiplication of paths, the fundamental group, induced homomorphisms, the fundamental group of the circle, covering spaces, lifting theorems, the universal covering space, Seifert-van Kampen theorem, applications. Simplicial and singular

Homology: Simplicial complexes, chain complexes, definitions of the simplicial and singular homology groups, properties of homology groups, applications

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