Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Covers homology with coefficients, introducing the concept of defining homology groups with respect to arbitrary abelian groups.
Covers the Zig Zag Lemma and the long exact sequence of relative homology.
Explores the comparison of long exact sequences for vibrations and the relationship between homotopy and homology groups.
Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.
Covers induced homomorphisms, homotopy invariance, and homology groups of quotients.
