Lectures related to EML Spaces and Cohomology

Covers induced homomorphisms, homotopy invariance, and homology groups of quotients.

Explores the homotopy theory of chain complexes, including path object construction and fibrations.

Explains cellular homology and the computation of homology groups using boundary maps.

Covers the concept of simplicial homology, focusing on finite complexes and induced maps.

Covers the long exact sequence of relative homology groups and chain complexes.

Introduces singular homology, defining singular simplices and explaining the chain complex construction.

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.

Covers homology groups of quotients, homotopy invariance, and exact sequences.

Explains relative homology, n-cycles, n-boundaries, and exact sequences of chain complexes.