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 GraphSearch.
This lecture delves into the homotopy theory of chain complexes over a field, exploring the closure properties of sets of cofibrations and fibrations under retractions, the right lifting property of acyclic fibrations, and the decomposition of chain complexes into direct sums of 'spheres' and 'disks'. The instructor, Kathryn Hess, provides a detailed explanation of why these properties hold and their significance in the context of homotopy theory.