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.
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Famous quotes containing the words power and/or set:
“You only have power over people so long as you don’t take everything away from them. But when you’ve robbed a man of everything he’s no longer in your power—he’s free again.”
—Alexander Solzhenitsyn (b. 1918)
“The moral earth, too, is round! The moral earth, too, has its antipodes! The antipodes, too, have their right to exist! There is still another world to be discovered—and more than one! Set sail, you philosophers!”
—Friedrich Nietzsche (1844–1900)