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:
“I am firmly opposed to the government entering into any business the major purpose of which is competition with our citizens ... for the Federal Government deliberately to go out to build up and expand ... a power and manufacturing business is to break down the initiative and enterprise of the American people; it is the destruction of equality of opportunity amongst our people, it is the negation of the ideals upon which our civilization has been based.”
—Herbert Hoover (1874–1964)
“She’s just a child,
but I’m the one who’s fainthearted.
She’s the woman,
but I’m the coward.
She bears that high, swollen set of breasts,
but I’m the one who’s burdened.
The heavy hips are hers,
but I’m unable to move.
It’s a wonder
how clumsy I’ve become
because of flaws
that shelter themselves
in another.”
—Amaru (c. seventh century A.D.)