domain (changes) in nLab

Skip the Navigation Links | Home Page | All Pages | Latest Revisions | Discuss this page |

Showing changes from revision #11 to #12: Added | Removed | Changed

Disambiguation

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

• in ring theory:

  domain (ring theory) and integral domain

• in domain theory:

  Scott domains: pointed directed-complete partial orders

• in category theory:

  source of a morphism

• domain of discourse

• The subset A⊆XA\subseteq X for which there exists a relation R:X→YR\colon X \to Y.

• in mathematical analysis , a a(n open) domain or region is a nonempty connected open subset ofℝ n\mathbb{R}^n (or ℂ n\mathbb{C}^n, or topological manifold), see wikipedia: domain (mathematical_analysis) ) andeom: domain; a closure of an open domain is also called a closed domain

• in differential geometry and especially in complex analysis:

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

EditDiscussPrevious revisionHide changesHistory (11 revisions) Cite Print Source