This lecture covers homology groups of quotients, homotopy invariance, and the relationship between different homology groups. It explains the concept of a good pair, exact sequences, and provides examples to illustrate the theory.
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Homology is one of the most important tools to study topological spaces and it plays an important role in many fields of mathematics. The aim of this course is to introduce this notion, understand its
Demonstrates the equivalence between simplicial and singular homology, proving isomorphisms for finite s-complexes and discussing long exact sequences.
