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Partially ordered set
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== See also == {{div col|colwidth=27em}} * [[Antimatroid]], a formalization of orderings on a set that allows more general families of orderings than posets * [[Causal set]], a poset-based approach to quantum gravity * {{annotated link|Comparability graph}} * {{annotated link|Complete partial order}} * {{annotated link|Directed set}} * {{annotated link|Graded poset}} * {{annotated link|Incidence algebra}} * {{annotated link|Lattice (order)|Lattice}} * {{annotated link|Locally finite poset}} * {{annotated link|Incidence algebra|MΓΆbius function on posets}} * [[Nested set collection#Formal definition|Nested set collection]] * {{annotated link|Order polytope}} * {{annotated link|Ordered field}} * {{annotated link|Ordered group}} * {{annotated link|Ordered vector space}} * [[Poset topology]], a kind of topological space that can be defined from any poset * [[Scott continuity]] β continuity of a function between two partial orders. * {{annotated link|Semilattice}} * {{annotated link|Semiorder}} * [[Szpilrajn extension theorem]] β every partial order is contained in some total order. * {{annotated link|Stochastic dominance}} * [[Strict weak ordering]] β strict partial order "<" in which the relation {{nowrap|"neither ''a'' < ''b''}} {{nowrap|nor ''b'' < ''a''"}} is transitive. * {{annotated link|Total order}} * {{annotated link|Zorn's lemma}} {{div col end}}
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