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co- +‎ product

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coproduct (plural coproducts)

  1. Any of multiple products that are produced at the same time, or by the same process
  2. (mathematics) The colimit of two (or more) objects, without regard to any morphisms between them.
    The coproduct is a structure constructed from several similar structures, equipped with appropriate inclusion maps, which generalises the disjoint union of sets, of topological spaces and the free product of groups.
    Hyponyms: disjoint union, direct sum, free product, wedge sum
    Meronym: inclusion

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