Lectures related to The Five Lemma

Covers the concept of morphism of groups, actions on sets, and automorphisms.

Explains surjective, injective, and bijective functions, along with limits of functions.

Covers the construction and universal properties of pushouts in group theory.

Covers the definitions and notations related to functions.

Covers the basic definitions and properties of real functions, including monotonicity, periodicity, and extrema.

Explores linear transformations, matrices, and their properties, including surjectivity, injectivity, and symmetry operations.

Covers applications between sets, functions, and graphs, exploring injectivity, surjectivity, and bijectivity.

Covers the first isomorphism theorem in group theory and its applications.

Covers the definition and properties of natural transformations between functors in category theory.