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Covers the Zig Zag Lemma and the long exact sequence of relative homology.
Introduces reduced homology groups and explains their properties and applications in topology.
Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Introduces the Eilenberg-Steenrod axioms in homology theory, defining properties such as homotopy invariance and exactness.
Explains cellular homology and the computation of homology groups using boundary maps.
Covers induced homomorphisms, homotopy invariance, and homology groups of quotients.
