Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.
Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.
Covers model database resolution, hydrology, GIS, connections, transitions, and validation using various datasets.
Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.
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.
