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:
“It never was in the power of any man or any community to call the arts into being. They come to serve his actual wants, never to please his fancy.”
—Ralph Waldo Emerson (1803–1882)
“The grip that swung the ax in Illinois
Was on the pen that set a people free.”
—Edwin Markham (1852–1940)