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Related lectures (6)
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Chain Maps: Homotopy Invariance
Covers chain maps, homotopy invariance, homology groups, and induced homomorphisms between cycles and boundaries.
Mathematical Complements: df or δf
Explores mathematical tools for differentials of functions of multiple variables and their practical applications in thermodynamics and real-life scenarios.
Relative Homology: Homotopy Invariance
Explains relative homology, n-cycles, n-boundaries, and exact sequences of chain complexes.
Induced Homomorphisms
Covers induced homomorphisms, homotopy invariance, and homology groups of quotients.
Homology groups: Quotients
Covers homology groups of quotients, homotopy invariance, and exact sequences.
Homology with coefficients
Covers homology with coefficients, introducing the concept of defining homology groups with respect to arbitrary abelian groups.
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