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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 samecategory . More specifically, it is either the initial property of aninitial object in a coslice-like comma category or the terminal property of aterminal object in aslice -like comma category; these are roughly analogous to theminimum and themaximum (respectively) of a certainlattice , and are used to define the objectuniquely up to isomorphism.
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