See also inequality, extreme value, optimization (mathematics), domain theory.
Partial orders Hasse diagram Monotonic Preorder Total order Total preorder Chain Well-order Well-founded relation Ordinal number Least upper bound Greatest lower bound Limit superior and limit inferior Extended real number line Antichain Cofinality Dense Dedekind completion Infinite descending chain Ascending chain condition Lattice Knaster-Tarski theorem Boolean algebra Boolean ring Kleene algebra Heyting algebra Pointless topology Galois connection Relative complement Incidence algebra In abstract algebra Ordered group Archimedean property Ordered field Artinian Noetherian Linearly ordered group In mathematical logic Zorn's lemma Hausdorff maximality theorem Boolean prime ideal theorem Suslin's problem, Suslin hypothesis Directed set Net (mathematics) Filter (mathematics) Directed acyclic graph