nLab domain

Disambiguation

There are multiple notions of domain of mathematics. These include:

• in ring theory:

  domain (ring theory) and integral domain

• in domain theory:

  pointed directed-complete partial orders

• in category theory:

  source of a morphism

• domain of discourse

• The subset $A\subseteq X$ for which there exists a relation $R\colon X \to Y$.

• in differential geometry and especially in complex analysis:

  an open subset of a manifold (cf. Stein domain)

category: disambiguation