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See Also: relation, partial order, semilattice, star product, Hasse diagram, greatest lower bound, nets and closures of subspaces, order-preserving map, disjunction property of Wallman
| Other names: |
partially ordered set |
| Also defines: |
comparable, incomparable, cover, covering, order-preserving function, monotone, monotonic, order morphism, morphism of posets, dual poset, consecutive |
| Keywords: |
Relation, Partial Order, Set |
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Cross-references: acyclic, Hasse diagram, proof, subinterval, contains, induction, contained, subset, strictly, height, finite, interval, subgraph, canonical, Boolean algebra, edge, vertex, directed graph, easy to see, Dilworth's theorem, theorems, inclusion, powerset, intersection, cardinality, real numbers, rational numbers, integers, natural numbers, singleton, antichain, elements, chain, functor, category, composition, identity function, inequalities, preserves, order-preserving, function, NOR, trichotomy, total order, loops, diagram, preorder, strict, Reflexive, transitive, irreflexive, iff, diagonal, partial order, relation, antisymmetric, binary relation
There are 242 references to this entry.
This is version 14 of poset, born on 2001-10-06, modified 2007-06-19.
Object id is 132, canonical name is Poset.
Accessed 33149 times total.
Classification:
| AMS MSC: | 06A99 (Order, lattices, ordered algebraic structures :: Ordered sets :: Miscellaneous) |
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Pending Errata and Addenda
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