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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 delves into the homotopy theory of chain complexes, exploring the warm-up exercises related to retractions of acyclic cofibrations and sections of acyclic fibrations. The model category structure on the category of chain complexes over a field is thoroughly examined, demonstrating completeness and cocompleteness, the 2-out-of-3 property, and the closure under retraction of WE, Cof, and Fib.