Limits and colimits: Introduction, Chapter 1(c)

Related lectures (32)

Page 3 of 4

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

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

Explores the verification of a Lie functor as a left adjoint, with natural transformations satisfying triangular identities and isomorphisms.

Covers the definition of equivalence of categories using natural transformations and provides concrete examples.

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

Introduces natural transformations in category theory through concrete examples from group theory.

Explores coproducts, universal properties, and natural transformations in category theory.

Explores the concept of free abelian groups as an important left adjoint functor.

Explores category equivalences, adjunctions, and group actions in category theory.

Explores identity and forgetful functors in category theory, showcasing their role in preserving structure and relationships between categories.