Explores the construction of cylinder objects in chain complexes over a field, focusing on left homotopy and interval chain complexes.
Covers the concept of homotopy classes and their properties in topology, including short components and group concatenation.
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.
Covers the attachment of a 2-cell to a space and explores the concept of the attachment application f.
Explores the uniqueness of CW approximation and Whitehead's theorem through the construction of maps inducing isomorphisms on homotopic groups.
