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- 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 objectin a coslice-like comma category or the terminal property of a terminal objectin a slice-like comma category; these are roughly analogous to the minimumand the maximum(respectively) of a certain lattice, and are used to define the object uniquelyup to isomorphism.
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