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Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.
Covers the concept of sheaves, emphasizing the unique determination of functions by local data and the importance of direct limits.
Explores divisibility and torsion in group theory, focusing on defining a functor that preserves divisibility.
Introduces two fundamental examples of simplicial sets: the nerve of a small category and the singular simplicial set of a topological space.
Explores identity and forgetful functors in category theory, showcasing their role in preserving structure and relationships between categories.
