Tag
Satellites & Kan Extensions
5 resources tagged “Satellites & Kan Extensions” across the knowledge library.
5 items
Guide6 Aug 2026Homology of Small CategoriesHomology of a small category with coefficients in a functor, the nerve and its geometric realisation, comparison with group homology, and the associated spectral sequences.3 min readRead MoreGuide6 Aug 2026Kan ExtensionsLeft and right Kan extensions, their construction by colimits and limits, the adjunction characterisation, and their role in homology of small categories.3 min readRead MoreGuide6 Aug 2026Projective Classes of EpimorphismsProjective classes, relative projectives, allowable epimorphisms, relative exactness, and the examples that motivate relative homological algebra.4 min readRead MoreGuide6 Aug 2026Relative Derived FunctorsConstruction of relative derived functors from relative resolutions, their properties, the comparison with absolute derived functors, and worked examples.4 min readRead MoreGuide6 Aug 2026SatellitesLeft and right satellites of an additive functor, their construction, the connection with derived functors, and their use when the category lacks enough projectives.4 min readRead More