#homological-algebra

18. Category Theory; Homological Algebra

This volume develops category theory as a unifying language and homological algebra as a computational framework for algebraic structures. It connects algebra, topology, geometry, and logic through morphisms and functorial methods. Part I. Category Theory Foundations Chapter 1. Categories 1.1 Objects and morphisms 1.2 Composition and identities 1.3 Examples: sets, groups, spaces 1.4 Opposite categories 1.5 Basic constructions Chapter 2. Functors 2.1 Covariant and contravariant functors 2.2 Examples and constructions...