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:
“Of Heaven of Hell I have no power to sing,
I cannot ease the burden of your fears,
Or make quick-coming death a little thing,
Or bring again the pleasure of past years,”
—William Morris (1834–1896)
“I never can hear a crowd of people singing and gesticulating, all together, at an Italian opera, without fancying myself at Athens, listening to that particular tragedy, by Sophocles, in which he introduces a full chorus of turkeys, who set about bewailing the death of Meleager.”
—Edgar Allan Poe (1809–1845)