Homotopical AlgebraCovers the theory of groups and homotopical algebra, emphasizing natural transformations, identities, and isomorphism of categories.
Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Category EquivalenceExplores the concept of category equivalence through isomorphic functors and natural isomorphisms between categories.
Equivalences of CategoriesExplores examples of natural transformations, equivalence of categories, and adjunction with specific instances involving Un.
Graph IsomorphismsCovers the concept of graph isomorphisms, explaining the definition, notation, examples, computational complexity, and number of isomorphism classes.
Morphism of GroupsCovers the concept of morphism of groups, actions on sets, and automorphisms.
Group Theory: Part 2Delves into advanced group theory concepts such as isomorphisms and homomorphisms.
