Homology and HomotopyExplores the comparison of long exact sequences for vibrations and the relationship between homotopy and homology groups.
Zig Zag LemmaCovers the Zig Zag Lemma and the long exact sequence of relative homology.
Group CohomologyCovers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Homology with coefficientsCovers homology with coefficients, introducing the concept of defining homology groups with respect to arbitrary abelian groups.
