Steenrod SquaresCovers the concept of Steenrod Squares and their applications in stable cohomology operations.
Group CohomologyCovers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Cohomology: Cross ProductExplores cohomology and the cross product, demonstrating its application in group actions like conjugation.
Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
CW Approximation TheoremExplores the CW Approximation Theorem, constructing CW complexes from spaces to ensure isomorphism on homology groups.
Quasi-Categories: Active Learning SessionCovers fibrant objects, lift of horns, and the adjunction between quasi-categories and Kan complexes, as well as the generalization of categories and Kan complexes.