Explores homotopy invariance, emphasizing the preservation of properties under continuous functions and their relationship with topological spaces.
Explores the construction of cylinder objects in chain complexes over a field, focusing on left homotopy and interval chain complexes.
Covers the attachment of a 2-cell to a space and explores the concept of the attachment application f.
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.
