Serre model structure: Left and right homotopy

Related lectures (32)

Explores the homotopy theory of chain complexes, focusing on retractions and model category structures.

Covers the definition and properties of a model category, including fibrations, cofibrations, weak equivalences, and more.

Explores solving the homotopic extension problem, constructing relative CW complexes, and ensuring uniqueness in CW approximations.

Explores the equivalence of left and right homotopy for morphisms between bifibrant objects.

Covers the Algebraic Kunneth Theorem, explaining chain complexes and cohomology computations.

Explores the left homotopy relation as an equivalence relation in model categories.

Introduces the course on homotopical algebra, exploring the power of analogy in pure mathematics.

Explores the construction of cylinder objects in chain complexes over a field, focusing on left homotopy and interval chain complexes.

Explores chain homotopy, projective complexes, and homotopy equivalences in chain complexes.

Covers the relationship between model categories and homotopy categories through functors preserving structural properties.

Explores the homotopy theory of chain complexes over a field, focusing on closure properties and decomposition.

Explores the Fubini Rule for pushouts, emphasizing the importance of transforming diagrams for maintaining pushout properties.

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