Engineering↗
Homology of Small Categories
Homology of a small category with coefficients in a functor, the nerve and its geometric realisation, comparison with group homology, and the associated spectral sequences.
Every page in the KEVOS library tagged Functor Category. 2 pages.
Homology of a small category with coefficients in a functor, the nerve and its geometric realisation, comparison with group homology, and the associated spectral sequences.
Natural transformations and naturality squares, natural isomorphisms, functor categories, and the role of naturality in the long exact sequences.