Topologization of Power Set
Since any family of functions XY from Y to X might be topologized establishing the so-called function space, the same can be done with the power set 2S identified as {0,1}S. This particular type of function space is often called a hyperspace and the topology on the power set is referred to as hypertopology.
Read more about this topic: Power Set
Famous quotes containing the words power and/or set:
“We have grasped the mystery of the atom and rejected the Sermon on the Mount.... The world has achieved brilliance without wisdom, power without conscience. Ours is a world of nuclear giants and ethical infants.”
—Omar Bradley (1893–1981)
“Although knaves win in every political struggle, although society seems to be delivered over from the hands of one set of criminals into the hands of another set of criminals, as fast as the government is changed, and the march of civilization is a train of felonies, yet, general ends are somehow answered.”
—Ralph Waldo Emerson (1803–1882)