Lecture

Homotopy theory of chain complexes

In course

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Description

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.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_xoe9ortx

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra, Category theory, Linear algebra

Topology: Algebraic topology

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