Existence of Left Derived Functors: Part 2

Related lectures (32)

Page 2 of 4

Explains the construction of the homotopy category of a model category using cofibrant and fibrant replacement.

Explores the Whitehead Lemma, showing when a morphism is a weak equivalence.

Explores natural transformations in algebra, defining functors and isomorphisms.

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

Covers cylinders, path objects, and homotopy in model categories.

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

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

Covers the properties and structures of model categories, focusing on factorizations, model structures, and homotopy of continuous maps.

Explores homotopy categories in model structures, emphasizing weak equivalences and the Whitehead Lemma.

Explores the existence of left derived functors in homotopical algebra, focusing on isomorphism conditions and natural transformations.