Cofibrations: Extension Property and Recognition Principle

Related lectures (32)

Page 3 of 4

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

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

Explores acyclic fibrations and cylinder objects in chain complexes.

Focuses on lifting properties in homotopy theory of chain complexes.

Covers two technical lemmas essential for the Fundamental Theorem in homotopical algebra.

Covers commutative diagrams, homotopy, and constructing topological spaces.

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

Discusses how CW pairs satisfy the homotopy extension property through retractions and homotopy extension properties.

Explores sets of left homotopy equivalence classes of morphisms in model categories.

Explores the cellular approximation theorem for CW complexes and its implications on homotopy groups.