- connected functor
- мат.связный функтор
English-Russian scientific dictionary. 2008.
connected functor
Смотреть что такое "connected functor" в других словарях:
Functor category — In category theory, a branch of mathematics, the functors between two given categories can themselves be turned into a category; the morphisms in this functor category are natural transformations between functors. Functor categories are of… … Wikipedia
Connected category — In category theory, a branch of mathematics, a connected category is a category in which, for every two objects X and Y there is a finite sequence of objects with morphisms or for each 0 ≤ i < n (both directions are allowed in the same… … 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
Limit (category theory) — In category theory, a branch of mathematics, the abstract notion of a limit captures the essential properties of universal constructions such as products and inverse limits. The dual notion of a colimit generalizes constructions such as disjoint… … Wikipedia
Category of rings — In mathematics, the category of rings, denoted by Ring, is the category whose objects are rings (with identity) and whose morphisms are ring homomorphisms (preserving the identity). Like many categories in mathematics, the category of rings is… … Wikipedia
Groupoid — dablink|This article is about groupoids in category theory. For the algebraic structure with a single binary operation see magma (algebra). In mathematics, especially in category theory and homotopy theory, a groupoid is a simultaneous… … Wikipedia
Fundamental group — In mathematics, the fundamental group is one of the basic concepts of algebraic topology. Associated with every point of a topological space there is a fundamental group that conveys information about the 1 dimensional structure of the portion of … Wikipedia
Structure Mapping Engine — In artificial intelligence and cognitive science, the structure mapping engine is an implementation in software of an algorithm for analogical matching based on the psychological theory of Dedre Gentner [1983] . The basis of Gentner s structure… … Wikipedia
Lie algebra — In mathematics, a Lie algebra is an algebraic structure whose main use is in studying geometric objects such as Lie groups and differentiable manifolds. Lie algebras were introduced to study the concept of infinitesimal transformations. The term… … Wikipedia
Adjoint functors — Adjunction redirects here. For the construction in field theory, see Adjunction (field theory). For the construction in topology, see Adjunction space. In mathematics, adjoint functors are pairs of functors which stand in a particular… … 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
