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:
“But the power of destiny is something awesome; neither wealth, nor Ares, nor a tower, nor dark-hulled ships might escape it.”
—Sophocles (497–406/5 B.C.)
“It may be that the most interesting American struggle is the struggle to set oneself free from the limits one is born to, and then to learn something of the value of those limits.”
—Greil Marcus (b. 1945)