Properly Discontinuous Action
In topology and related branches of mathematics, an action of a group G on a topological space X is called proper if the map from G×X to X×X taking (g,x) to (gx,x) is proper, and is called properly discontinuous if in addition G is discrete. There are several other similar but inequivalent properties of group actions that are often confused with properly discontinuous actions.
Read more about Properly Discontinuous Action: Properly Discontinuous Action, Similar Properties
Famous quotes containing the words properly and/or action:
“No matter what one says, you can recognize only those matters that are equal to you. Only rulers who possess extraordinary abilities will recognize and esteem properly extraordinary abilities in their subjects and servants.”
—Johann Wolfgang Von Goethe (1749–1832)
“An action is the perfection and publication of thought. A right action seems to fill the eye, and to be related to all nature.”
—Ralph Waldo Emerson (1803–1882)