Word Explorer

Upper set

💡 Words with a Similar Meaning to "Upper set"

Found via reverse dictionary — words that share a conceptual meaning.

WordDefinition
lower setnoun(mathematics, order theory) A subset of a poset which contains any descending chain which starts at any element of itself.
chainnounA series of interconnected rings or links usually made of metal.
algebraic posetnoun(algebra, order theory) A partially ordered set (poset) in which every element is the supremum of the compact elements below it.
posetnoun(set theory, order theory) A partially ordered set.
ordered setnoun(mathematics) A totally ordered set.
multichain(chemistry) Of or pertaining to more than one chain.
subposetnoun(mathematics) A subset of a poset
supersetnoun(set theory) (symbol: ⊇) With respect to another set, a set such that each of the elements of the other set is also an element of the set.
antichainnoun(set theory, order theory, graph theory) A subset, A, of a partially ordered set, (P, ≤), such that no two elements of A are comparable with respect to ≤.
power setnoun(set theory, of a set S) The set whose elements comprise all the subsets of S (including the empty set and S itself).
subsetnounA group of things or people, all of which are in a specified larger group.
totally ordered setnoun(set theory) A set having a specified total order.
well-ordernoun(set theory, order theory) A total order of some set such that every nonempty subset contains a least element.
partially ordered setnoun(set theory, order theory, loosely) A set that has a given, elsewhere specified partial order.
directed setnoun(algebra, set theory) A set equipped with a preorder such that for any two elements a and b there is an element c such that a ≤ c and b ≤ c.
powersetnounAlternative spelling of power set. [(set theory, of a set S) The set whose elements comprise all the subsets of S (including the empty set and S itself).]
ground setnoun(mathematics) The underlying set of mathematical structures such as posets and matroids.
upsetnoun(uncountable) Disturbance or disruption.
idealnounA perfect standard of beauty, intellect etc., or a standard of excellence to aim at.
ordernoun(countable) A command.

Translate “Upper set” into Another Language

Pick a language — the word will be pre-filled in the translator.

Home/Dictionary/Upper set