Terminal Object

Some articles on terminal object, objects, object:

Empty Product - Nullary Categorical Product
... In any category, the product of an empty family is a terminal object of that category ... as the limit with respect to a diagram given by the discrete category with n objects ... given by the limit with respect to the empty category, which is the terminal object of the category if it exists ...
Global Element
... In category theory, a global element of an object A from a category is a morphism h 1 → A, where 1 is a terminal object of the category ... However, unlike a set, an object of a general category need not be determined by its global elements (not even up to isomorphism) ... For example the terminal object of the category Grph of graphs has one vertex and one edge, a self-loop, whence the global elements of a graph are its self-loops, conveying no information ...

Famous quotes containing the words object and/or terminal:

    His eye begets occasion for his wit,
    For every object that the one doth catch
    The other turns to a mirth-moving jest.
    William Shakespeare (1564–1616)

    All sin tends to be addictive, and the terminal point of addiction is what is called damnation.
    —W.H. (Wystan Hugh)