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Summary Of: Partially ordered set

a partially ordered set differs from a... life example of a partially ordered set is a collection of people ordered by genealogical descendancy... of a partially ordered set is the same set with the partial order relation replaced by its inverse... Partially ordered set of set of all subsets of a six... Partially ordered set of set of all subsets of a six...

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The Hasse diagram of the set of all subsets of a three-element set {x, y, z}, ordered by inclusion. | | set of all subsets | mathematics | order theory | set | binary relation | total order | Hasse diagram | binary relation | set | reflexive | antisymmetric | transitive | i.e. | preorder | totally ordered sets | real numbers | natural numbers | divisibility | subsets | power set | inclusion | vector space | sequence space | sequences | function space | directed acyclic graph | reachability | Cartesian product | Lexicographical order | product order | direct product | ordered vector spaces | field | orders on the Cartesian product of totally ordered sets | irreflexive | transitive | asymmetric | reflexive closure | directed acyclic graphs | transitive closure | totally ordered | trichotomy | natural numbers | integers | rationals | reals | complex numbers | Partially ordered set of set of all subsets of a six-element set {a, b, c, d, e, f}, ordered by the subset relation. | | set of all subsets | OEIS | all | transitive | reflexive | preorder | total preorder | total order | equivalence relation | OEIS | total order | linear extension | computer science | topological sorting | category | isomorphic | initial object | terminal object | isomorphism-closed | topological space | closed | limits | interval | locally finite | integers | antimatroid | causal set | comparability graph | directed set | equivalence relation | graded poset | Hasse diagram | lattice | order theory | ordered group | poset topology | preorder | reflexive | transitive | antisymmetric | strict weak ordering | complete partial order | Richard P. Stanley | ISBN 0-521-66351-2 | OEIS | Categories | Order theory | Mathematical relations |
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Partially ordered set".