Homotopy Theory of Chain Complexes

In course

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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.

Instructor

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Official source

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

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Ontological neighbourhood

Mathematics

Topology: Algebraic topology

Education

Educational stages: Higher education

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