Homotopy Theory of Chain Complexes

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Description

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.

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https://mediaspace.epfl.ch/media/0_ylt9yxf7

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An academic degree is a qualification awarded to a student upon successful completion of a course of study in higher education, usually at a college or university. These institutions often offer degrees at various levels, usually divided into undergraduate and postgraduate degrees. The most common undergraduate degree is the bachelor's degree, although some educational systems offer lower level undergraduate degrees such as associate and foundation degrees. Common postgraduate degrees include master's degrees and doctorates.

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