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:
“... whilst you are proclaiming peace and good will to men, Emancipating all Nations, you insist upon retaining absolute power over wives. But you must remember that Arbitrary power is like most other things which are very hard, very liable to be broken—and notwithstanding all your wise Laws and Maxims we have it in our power not only to free ourselves but to subdue our Masters, and without violence throw both your natural and legal authority at our feet ...”
—Abigail Adams (1744–1818)
“it pleaseth me when I see through the meadows
The tents and pavilions set up, and great joy have I
When I see o’er the campana knights armed and horses arrayed.
And it pleaseth me when the scouts set in flight the folk with
their goods;
And it pleaseth me when I see coming together after them an host of
armed men.”
—Bertrans De Born (fl. 12th century)