Products: Theory of Categories

Related lectures (32)

Page 3 of 4

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

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

Discusses the formulation of G-morphisms within vector spaces and topological spaces.

Covers examples of categories like sets, groups, and vector spaces, exploring composition and product formation.

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

Covers the isomorphism of coverings and the lifting theory.

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

Covers limits and colimits, focusing on equalizers and coequalizers in category theory.

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

Covers the concept of isomorphism in categories, defining morphisms with inverses and exploring automorphisms and groupoids.