
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 coslicelike comma category or the ''terminal property'' of a terminal object in a slicelike 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
¹ Source: wiktionary.com
Universal Property Pictures
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