nLab normalization

In mathematics, the concept of an object being “normal” – and of its “normalization” if not – appears in many different contexts, with different meanings:

• in linear algebra:

  orthonormal basis

  (see also normal vector, normal bundle)

• in category theory:

  normal subobject, normal monomorphism

• in group theory:

  normal subgroup, normalizer

• in topology:

  normal topological space

• in algebraic geometry:

  normal variety

• in formal logic:

  normal form

• in operator algebra:

  normal operator

category: disambiguation