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:
“The memory ... experiencing and re-experiencing, has such power over one’s mere personal life, that one has merely lived.”
—Rebecca West (1892–1983)
“I set it down as a fact that if all men knew what each said of the other, there would not be four friends in the world.”
—Blaise Pascal (1623–1662)