Group Theory: Verifications

Related lectures (32)

Page 3 of 4

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

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

Explains the concept of free actions and their preservation properties in group theory.

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

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

Explores homotopical algebra, covering colimits, limits, adjunctions, and their applications in group theory.

Introduces an important generalization of category equivalence and its implications for group theory.

Explores a concrete example of adjunction in category theory and covers natural transformations and group theory concepts.

Covers the concepts of torsion and divisibility in group theory.

Covers special cases in group theory, focusing on group actions and functors.