Abelian - Topology and Number Theory

Topology and Number Theory

  • Abelian variety, a complex torus that can be embedded into projective space
  • Abelian surface, a two-dimensional abelian variety
  • Abelian function, a meromorphic function on an abelian variety
  • Abelian integral, a function related to the indefinite integral of a differential of the first kind
In category theory
  • Pre-abelian category, an additive category that has all kernels and cokernels
  • Abelian category, a preabelian category in which every monomorphism is a kernel and every epimorphism is a cokernel
In physics
  • A gauge theory is abelian or non-abelian depending on whether its symmetry group is commutative or non-commutative, respectively

Read more about this topic:  Abelian

Famous quotes containing the words number and/or theory:

    A considerable percentage of the people we meet on the street are people who are empty inside, that is, they are actually already dead. It is fortunate for us that we do not see and do not know it. If we knew what a number of people are actually dead and what a number of these dead people govern our lives, we should go mad with horror.
    George Gurdjieff (c. 1877–1949)

    The theory of the Communists may be summed up in the single sentence: Abolition of private property.
    Karl Marx (1818–1883)