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 truths of religion are never so well understood as by those who have lost the power of reason.”
—Voltaire [François Marie Arouet] (1694–1778)
“They say it’s worse to be ugly. I think it must only be different. If you’re pretty, you are subject to one set of assaults; if you’re plain you are subject to another.”
—Alix Kates Shulman (b. 1932)