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
Grothendieck group — In mathematics, the Grothendieck group construction in abstract algebra constructs an abelian group from a commutative monoid in the best possible way. It takes its name from the more general construction in category theory, introduced by… … Wikipedia
Grothendieck inequality — In mathematics, the Grothendieck inequality relates :max { 1 leq s i leq 1, 1 leq t j leq 1 } left| sum {i,j} a {ij} s i t j ight| to :max {S i,T j in B(H)} left| sum {i,j} a {ij} langle S i , T j angle ight|,where B(H) is the unit ball of a… … Wikipedia
Grothendieck connection — In algebraic geometry and synthetic differential geometry, a Grothendieck connection is a way of viewing connections in terms of descent data from infinitesimal neighbourhoods of the diagonal.Introduction and motivationThe Grothendieck connection … Wikipedia
Grothendieck's Galois theory — In mathematics, Grothendieck s Galois theory is a highly abstract approach to the Galois theory of fields, developed around 1960 to provide a way to study the fundamental group of algebraic topology in the setting of algebraic geometry. It… … Wikipedia
Grothendieck spectral sequence — In mathematics, in the field of homological algebra, the Grothendieck spectral sequence is a technique that allows one to compute the derived functors of the composition of two functors Gcirc F, from knowledge of the derived functors of F and G… … Wikipedia
Alexander Grothendieck — User:Geometry guy/InfoboxAlexander Grothendieck (born March 28, 1928 in Berlin, Germany) is considered to be one of the greatest mathematicians of the 20th century. He made major contributions to: algebraic topology, algebraic geometry, number… … Wikipedia
Reflexive space — In functional analysis, a Banach space is called reflexive if it satisfies a certain abstract property involving dual spaces. Reflexive spaces turn out to have desirable geometric properties. Definition Suppose X is a normed vector space over R… … 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
Nuclear space — In mathematics, a nuclear space is a topological vector space with many of the good properties of finite dimensional vector spaces. The topology on them can be defined by a family of seminorms whose unit balls decrease rapidly in size. Vector… … Wikipedia
