Lectures related to Freudenthal suspension theorem

Covers the Zig Zag Lemma and the long exact sequence of relative homology.

Introduces left homotopy between morphisms and its preservation under postcomposition in a model category.

Covers the concept of excision in algebraic topology with a focus on simplicial and singular homology.

Covers the concept of Steenrod Squares and their applications in stable cohomology operations.

Explores the Serre model structure, focusing on left and right homotopy equivalences.

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

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

Outlines the proof of the excision theory using the barycentric subdivision.

Explores the long exact sequence in homotopy, emphasizing the importance of sets and groups in the sequence.