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:
“And in cases where profound conviction has been wrought, the eloquent man is he who is no beautiful speaker, but who is inwardly drunk with a certain belief. It agitates and tears him, and perhaps almost bereaves him of the power of articulation.”
—Ralph Waldo Emerson (1803–1882)
“The question is not ... if art is enough to fulfill my life, but if I am true to the path I have set for myself, if I am the best I can be in the things I do. Am I living up to the reasons I became a singer in the first place?”
—Kathleen Battle (b. 1948)