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Lecture
Sheaves: Hartshorne I.1
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Related lectures (31)
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Limits and colimits in Top
Covers the concepts of limits and colimits in the category of Topological Spaces, emphasizing the relationship between colimit and limit constructions and adjunctions.
Adjunctions and Limits: Exploring Functors and Co-limits
Covers adjunctions and limits, focusing on functors, co-limits, and their applications in category theory.
Group Actions: Equivariance and Functors
Explores equivariance in group actions and functors, demonstrating its importance in group theory.
Sheafification: Natural Procedure and Adjoints
Covers sheafification, adjoint functors, and challenges in ensuring sheaf properties.
Group Cohomology
Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Divisibility and Torsion
Explores divisibility and torsion in group theory, focusing on defining a functor that preserves divisibility.
Invariant Definitions
Explores invariant definitions in sets, groups, and automorphisms, including p-divisible groups and free abelian groups.
Free Abelian Groups: Group Theory
Explores the concept of free abelian groups as an important left adjoint functor.
Functor Hom: Abelian Groups
Explores the Hom functor in Abelian groups, focusing on its construction and properties.
Torsion: Hom Functoriality and Exact Sequences
Explores the concept of torsion in group theory, focusing on its Hom functoriality and its role in exact sequences.
