cohomological functor

См. также в других словарях:

• Delta-functor — In homological algebra, a δ functor between two abelian categories A and B is a collection of functors from A to B together with a collection of morphisms that satisfy properties generalising those of derived functors. A universal δ functor is a… …   Wikipedia

• Zuckerman functor — This article is about the Zuckerman induction functor, which is not the same as the (Zuckerman) translation functor. In mathematics, a Zuckerman functor is used to construct representations of real reductive Lie groups from representations of… …   Wikipedia

• 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

• Inverse limit — In mathematics, the inverse limit (also called the projective limit) is a construction which allows one to glue together several related objects, the precise manner of the gluing process being specified by morphisms between the objects. Inverse… …   Wikipedia

• Group cohomology — This article is about homology and cohomology of a group. For homology or cohomology groups of a space or other object, see Homology (mathematics). In abstract algebra, homological algebra, algebraic topology and algebraic number theory, as well… …   Wikipedia

• Spectral sequence — In the area of mathematics known as homological algebra, especially in algebraic topology and group cohomology, a spectral sequence is a means of computing homology groups by taking successive approximations. Spectral sequences are a… …   Wikipedia

• Grothendieck topology — In category theory, a branch of mathematics, a Grothendieck topology is a structure on a category C which makes the objects of C act like the open sets of a topological space. A category together with a choice of Grothendieck topology is called a …   Wikipedia

• Algebraic torus — In mathematics, an algebraic torus is a type of commutative affine algebraic group. These groups were named by analogy with the theory of tori in Lie group theory (see maximal torus). The theory of tori is in some sense opposite to that of… …   Wikipedia

• Moduli space — In algebraic geometry, a moduli space is a geometric space (usually a scheme or an algebraic stack) whose points represent algebro geometric objects of some fixed kind, or isomorphism classes of such objects. Such spaces frequently arise as… …   Wikipedia

• Topological quantum field theory — A topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants.Although TQFTs were invented by physicists (notably Edward Witten), they are primarily of mathematical… …   Wikipedia

• K-theory — In mathematics, K theory is a tool used in several disciplines. In algebraic topology, it is an extraordinary cohomology theory known as topological K theory. In algebra and algebraic geometry, it is referred to as algebraic K theory. It also has …   Wikipedia