Concept

Yoneda lemma

Related lectures (25)

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Explores invariant definitions in sets, groups, and automorphisms, including p-divisible groups and free abelian groups.

Covers the transfer of model structures through adjunctions in the context of model categories.

Explores composition of functors, induced functors, and preservation of commutative diagrams in category theory.

Covers the concept of sheaves, emphasizing the unique determination of functions by local data and the importance of direct limits.

Covers exact sequences in homological algebra and the properties of Hom functors.

Covers G-equivariant morphisms in group actions, emphasizing natural transformations and conditions for morphisms.

Covers bijections between automorphisms and equivariant bijections in group isomorphisms.

Explores derived functors, Ext-modules, Yoneda extensions, and derived categories in the context of extending modules.

Explores divisibility and torsion in group theory, focusing on defining a functor that preserves divisibility.

Explores the topological Künneth Theorem, emphasizing commutativity and homotopy equivalence in chain complexes.

Explores the beautiful properties of the p-Sylow subgroups of a finite group.

Introduces the concept of homology groups and focuses on a lemma about free abelian groups.

Covers the cup product on cohomology, acyclic models, and the universal coefficient theorem.

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Introduces Lemma 1.14 for finite sets in Ab and discusses notations and properties of direct sums.

Explores group actions and equivariant morphisms in group theory.

Covers the concept of functors, assigning morphisms and dual spaces in different categories.