Delves into applying cellular homology to compute homology groups and Euler characteristic, showcasing its practical implications.
Explores the CW Approximation Theorem, constructing CW complexes from spaces to ensure isomorphism on homology groups.
Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Covers the proof of Theorem A, discussing homology, quotients, and isomorphisms.
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.
