Homotopy Invariance: Push Out Product

Related lectures (32)

Page 2 of 4

Explores Quillen pairs, equivalences, and derived functors in homotopical algebra.

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

Explores derived functors in model categories, focusing on identity and homotopy categories.

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

Introduces the concept of a universal covering construction with examples like Hawaiian rings.

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

Explores homotopy equivalence in chain complexes, emphasizing path object construction and left/right homotopy characterization.

Explores the uniqueness of CW approximation and Whitehead's theorem through the construction of maps inducing isomorphisms on homotopic groups.

Explores the basic properties of left homotopy in model categories, focusing on weak equivalences and morphism relationships.

Explores wedges in pointed spaces, group structures, and the Echman-Hilton argument.