In mathematics, in the sub-field of geometric topology, the mapping class group is an important algebraic invariant of a topological space. Briefly, the mapping class group is a discrete group of 'symmetries' of the space.
Read more about Mapping Class Group: Motivation, Definition, Mapping-class Groups of Pairs, Torelli Group, Stable Mapping Class Group
Famous quotes containing the words class and/or group:
“We are the party of all labor.
The whole earth shall be ours to share
And every race and craft our neighbor.
No idle class shall linger there
Like vultures on the wealth we render
From field and factory, mill and mine.
Tomorrow’s sun will rise in splendor
And light us till the end of time.”
—Eugène Pottier (1816–1887)
“The government of the United States at present is a foster-child of the special interests. It is not allowed to have a voice of its own. It is told at every move, “Don’t do that, You will interfere with our prosperity.” And when we ask: “where is our prosperity lodged?” a certain group of gentlemen say, “With us.””
—Woodrow Wilson (1856–1924)