Group Theory Fundamentals

Related lectures (29)

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

Explores active learning in Group Theory, focusing on products, coproducts, adjunctions, and natural transformations.

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

Covers group quotient, group actions, and functors connecting sets and G-sets.

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.

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

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

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

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