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:
“Only that type of story deserves to be called moral that shows us that one has the power within oneself to act, out of the conviction that there is something better, even against one’s own inclination.”
—Johann Wolfgang Von Goethe (1749–1832)
“You have a row of dominoes set up; you knock over the first one, and what will happen to the last one is that it will go over very quickly.”
—Dwight D. Eisenhower (1890–1969)