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Lecture
Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture covers the first properties of singular homology, including examples of simplicial homology, reduced homology groups, and the decomposition of top spaces. It explains how the boundary maps preserve the decomposition and the path-connected components of a space. The lecture also discusses the surjectivity of homomorphisms and the uniqueness of singular simplices in a topological space.