Category theory

Related lectures (32)

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Explores constructing desired adjoints in specific categories like Set.

Covers adjunctions and functor categories, emphasizing their significance in category theory and applications in deep learning.

Explores the concept of category theory, providing examples and discussing the opposite category concept.

Explores examples of categories, morphisms, groupoids, and functors in category theory.

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

Covers simplicial and cosimplicial objects in category theory with practical examples.

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

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

Explores G-objects in a concrete category and the framework for group actions.

Covers limits, colimits, standard simplices, mapping spaces, boundaries, horns, and spines.