ordertheoretic
Ordertheoretic, or order-theoretic, refers to the branch of mathematics known as order theory, which studies binary relations that express order on a set. The central notions are preorders, partial orders, and total orders, and the primary objects of study include posets (partially ordered sets), lattices, and ordered algebraic structures. A recurring theme is the analysis of order-preserving (monotone) maps and the ways elements can be compared, combined, or extended within an ordered framework.
Core constructions include lattices, where any two elements have a greatest lower bound and a least upper
Historically, order-theoretic ideas arose from Cantor and Dedekind in the 19th century and were developed further
The adjective order-theoretic is used to describe approaches, proofs, or properties derived from the study of