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:
“Power, I said. Power to walk into the gold vaults of the nations, into the secrets of kings, into the holy of holies. Power to make multitudes run squealing in terror at the touch of my little invisible finger. Even the moon’s frightened of me. Frightened to death. The whole world’s frightened to death.”
—R.C. Sherriff (1896–1975)
“I had rather hear a brazen canstick turned,
Or a dry wheel grate on the axle-tree,
And that would set my teeth nothing on edge,
Nothing so much as mincing poetry.
‘Tis like the forced gait of a shuffling nag.”
—William Shakespeare (1564–1616)