Explores the lifting criterion for maps between path-connected and locally path-connected spaces.
Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
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.
Focuses on the Seifert van Kampen theorem, demonstrating an isomorphism between fundamental groups using a three-dimensional diagram.
Covers concrete categories with sets and structures, including Ens, Gr, Ab, and Vectk.
Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.
