Properties and Examples
There is a natural group action of the homeomorphism group of a space on that space. If this action is transitive, then the space is said to be homogeneous.
Read more about this topic: Homeomorphism Group
Famous quotes containing the words properties and/or examples:
“The reason why men enter into society, is the preservation of their property; and the end why they choose and authorize a legislative, is, that there may be laws made, and rules set, as guards and fences to the properties of all the members of the society: to limit the power, and moderate the dominion, of every part and member of the society.”
—John Locke (1632–1704)
“It is hardly to be believed how spiritual reflections when mixed with a little physics can hold people’s attention and give them a livelier idea of God than do the often ill-applied examples of his wrath.”
—G.C. (Georg Christoph)