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derived category

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  • Derived category — In mathematics, the derived category D(C) of an abelian category C is a construction of homological algebra introduced to refine and in a certain sense to simplify the theory of derived functors defined on C. The construction proceeds on the… …   Wikipedia

  • Derived functor — In mathematics, certain functors may be derived to obtain other functors closely related to the original ones. This operation, while fairly abstract, unifies a number of constructions throughout mathematics. Contents 1 Motivation 2 Construction… …   Wikipedia

  • Category:Mythological weapons — Mythological weapons are legendary weapons from a relatively cohesive set of myths. Weapons derived solely from works of fiction without any mythological value do not belong in this category. See also Use Category:Fictional weapons for weapons… …   Wikipedia

  • Derived set (mathematics) — In mathematics, more specifically in point set topology, the derived set of a subset S of a topological space is the set of all limit points of S. It is usually denoted by S′. The concept was first introduced by Georg Cantor in 1872 and he… …   Wikipedia

  • Category:Logic in computer science — Logic in computer science is that branch of mathematical logic which is approximately the intersection between mathematical logic and computer science. It contains: Those investigations into logic that are guided by applications in computer… …   Wikipedia

  • category — [15] The word category has a rather complicated semantic history. It comes ultimately from Greek katēgorein ‘accuse’, a compound formed from the prefix katá ‘against’ and agorá ‘public assembly’ (source of English agoraphobia and related to… …   The Hutchinson dictionary of word origins

  • category — [15] The word category has a rather complicated semantic history. It comes ultimately from Greek katēgorein ‘accuse’, a compound formed from the prefix katá ‘against’ and agorá ‘public assembly’ (source of English agoraphobia and related to… …   Word origins

  • Triangulated category — A triangulated category is a mathematical category satisfying some axioms that are based on the properties of the homotopy category of spectra, and the derived category of an abelian category. A t category is a triangulated category with a t… …   Wikipedia

  • List of category theory topics — This is a list of category theory topics, by Wikipedia page. Specific categories *Category of sets **Concrete category *Category of vector spaces **Category of graded vector spaces *Category of finite dimensional Hilbert spaces *Category of sets… …   Wikipedia

  • Outline of category theory — The following outline is provided as an overview of and guide to category theory: Category theory – area of study in mathematics that examines in an abstract way the properties of particular mathematical concepts, by formalising them as… …   Wikipedia

  • Homotopy category of chain complexes — In homological algebra in mathematics, the homotopy category K(A) of chain complexes in an additive category A is a framework for working with chain homotopies and homotopy equivalences. It lies intermediate between the category of chain… …   Wikipedia

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