Group Object

Group Object

In category theory, a branch of mathematics, group objects are certain generalizations of groups which are built on more complicated structures than sets. A typical example of a group object is a topological group, a group whose underlying set is a topological space such that the group operations are continuous.

Read more about Group Object:  Definition, Examples, Group Theory Generalized

Famous quotes containing the words group and/or object:

    There is nothing in the world that I loathe more than group activity, that communal bath where the hairy and slippery mix in a multiplication of mediocrity.
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    When I am finishing a picture I hold some God-made object up to it—a rock, a flower, the branch of a tree or my hand—as a kind of final test. If the painting stands up beside a thing man cannot make, the painting is authentic. If there’s a clash between the two, it is bad art.
    Marc Chagall (1889–1985)