Adjunctions: Constructing Desired Adjoints

Related lectures (32)

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

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

Explores concrete examples of limits and colimits in functors and different categories.

Explores homotopical algebra examples and adjunctions, focusing on left and right adjoints in group functors and coproducts.

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

Explores natural transformations between functors, emphasizing their composition-preserving properties and significance in category theory.

Provides an overview of categories, functors, and natural transformations in mathematics.

Explores functors, natural transformations, and the theory of groups, emphasizing the importance of comparisons and structure preservation.

Explores adjunction between functors, composition of applications, G-equivariance, and natural transformations in G-sets.

Explores natural transformations between functors in different categories and their applications.