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:
“A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.”
—Ralph Waldo Emerson (1803–1882)
“In the examples that I here bring in of what I have [read], heard, done or said, I have refrained from daring to alter even the smallest and most indifferent circumstances. My conscience falsifies not an iota; for my knowledge I cannot answer.”
—Michel de Montaigne (1533–1592)