Functors: Examples

Related lectures (32)

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Explores the construction of G-sets and left adjoint functors in category theory.

Introduces natural transformations in group theory and category theory, emphasizing their definition and significance.

Covers the definition and properties of natural transformations between functors in category theory.

Introduces functors, including identity and forgetful functors, and explores duality functors.

Introduces functors in category theory and explains their composition.

Explores functors between categories and the conditions for left and right adjoints.

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

Introduces natural transformations through examples, covering equivalence of categories and functor properties.

Explores building categories from graphs and the encoding of information by functors.

Explores natural transformations in category theory with a focus on the functor L and its algebraic properties.