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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.
CW Approximation UniquenessExplores the uniqueness of CW approximation and Whitehead's theorem through the construction of maps inducing isomorphisms on homotopic groups.
Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Homotopy Theory in Care ComplexesExplores the construction of cylinder objects in chain complexes over a field, focusing on left homotopy and interval chain complexes.