Login to filter by course Login to filter by course Reset
Explores the CW Approximation Theorem, constructing CW complexes from spaces to ensure isomorphism on homology groups.
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Explores homotopy invariance, emphasizing the preservation of properties under continuous functions and their relationship with topological spaces.
Covers fibrant objects, lift of horns, and the adjunction between quasi-categories and Kan complexes, as well as the generalization of categories and Kan complexes.
Explores the uniqueness of CW approximation and Whitehead's theorem through the construction of maps inducing isomorphisms on homotopic groups.
