#set (mathematics) an abstract collection of numbers or symbols; "the set of prime numbers is infinite"
supertype: collection (pm) something gathering separated things (entities/situations)
subtype: interval a set containing all points (or all real numbers) between two given endpoints
subtype: closed_interval__bounded_interval__boundedinterval an interval that includes its endpoints
subtype: open_interval__unbounded_interval__unboundedinterval an interval that does not include its endpoints
subtype: sub-interval__subinterval an interval that is included in another interval
subtype: mathematical_group__group a set that is closed, associative, has an identity element and every element has an inverse
subtype: subgroup.mathematical_group (mathematics) a subset (that is not empty) of a mathematical group
subtype: Abelian_group__commutative_group__commutativegroup a group that satisfies the commutative law
subtype: locus__locu the set of all points or lines that satisfy or are determined by specific conditions; "the locus of points equidistant from a given point is a circle"
subtype: subset a set whose members are members of another set; a set contained within another set
subtype: null_set a set that is empty; a set with no members
subtype: topological_space__topologicalspace__space (mathematics) any set of points that satisfy a set of postulates of some kind; "assume the vector space is finite dimensional"
subtype: subspace a space that is contained within another space
subtype: null_space a space that contains no points; and empty space
subtype: metric_space a set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality
subtype: Euclidean_space a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional
subtype: Hilbert_space a metric space that is linear and complete and (usually) infinite-dimensional
subtype: field.set (mathematics) a set of elements such that addition and multiplication are commutative and associative and multiplication is distributive over addition and there are two elements 0 and 1; "the set of all rational numbers is a field"
subtype: scalar_field a field of scalars
subtype: solution.set__root the set of values that give a true statement when substituted into an equation
subtype: diagonal (mathematics) a set of entries in a square matrix running diagonally either from the upper left to lower right entry or running from the upper right to lower left entry
subtype: domain the set of values of the independent variable for which a function is defined
subtype: geometric_intersection__geometricintersection__intersection a point or set of points common to two or more geometric configurations
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