Free Abelian Groups and Homomorphisms

Covers concrete categories with sets and structures, including Ens, Gr, Ab, and Vectk.

Covers the concepts of limits and colimits in the category of Topological Spaces, emphasizing the relationship between colimit and limit constructions and adjunctions.

Direct Sums of Abelian Groups

Covers direct sums of abelian groups, group actions, and vector spaces, including coproducts and homomorphisms.

Quotients in Abelian Groups

Covers quotients in abelian groups and the concept of free abelian groups, showing that every abelian group is isomorphic to a quotient of a free abelian group.

Introduction to Category Theory: Categories and Examples

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