Definition of Universal property

1. Noun. (mathematics) A definition of a mathematical object, up to isomorphism, in terms of abstract maps between it and other objects of the same category. More specifically, it is either the ''initial property'' of an initial object in a coslice-like comma category or the ''terminal property'' of a terminal object in a slice-like comma category; these are roughly analogous to the minimum and the maximum (respectively) of a certain lattice, and are used to define the object uniquely up to isomorphism. ¹

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Lexicographical Neighbors of Universal Property

universal coverage
universal donor
universal donors
universal gas constant
universal gravitational constant
universal infantilism
universal instability
universal joint
universal joints
universal jurisiction
universal numerical notation for teeth
universal opportunity
universal precautions
universal product code
universal product codes
universal property (current term)
universal quantifier
universal quantifiers
universal resource locator
universal set
universal sets
universal solvent
universal time
universal tube
universal value
universal values
universal veil

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