This lecture introduces simplicial homology, focusing on the structure of a topological space with the A-complex, a collection of continuous maps. It covers the group of nochains, boundary homomorphisms, and chain complexes.
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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.
