Library / English Dictionary

    MATHEMATICAL SPACE

    Pronunciation (US): Play  (GB): Play

     I. (noun) 

    Sense 1

    Meaning:

    (mathematics) any set of points that satisfy a set of postulates of some kindplay

    Example:

    assume that the topological space is finite dimensional

    Synonyms:

    mathematical space; topological space

    Classified under:

    Nouns denoting groupings of people or objects

    Hypernyms ("mathematical space" is a kind of...):

    infinite; space (the unlimited expanse in which everything is located)

    set ((mathematics) an abstract collection of numbers or symbols)

    Domain category:

    math; mathematics; maths (a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement)

    Hyponyms (each of the following is a kind of "mathematical space"):

    subspace (a space that is contained within another space)

    null space (a space that contains no points; and empty space)

    manifold (a set of points such as those of a closed surface or an analogue in three or more dimensions)

    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)

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