Similar ideas can be found in domain theory.

Consequently, domain theory can be considered as a branch of order theory.

Domain is a general term for objects like those that are studied in domain theory.

See: domain theory for the mathematical discipline related to these issues.

In this section, the central concepts and definitions of domain theory will be introduced.

The most important concepts of domain theory will nonetheless be introduced below.

Indeed, most considerations of domain theory do only consider orders that are at least directed complete.

Various additional properties are often reasonable and helpful: the article on domain theory has more details.

This view closely relates to the idea of information ordering that one typically finds in domain theory.

See the literature given for order theory and domain theory.