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:
“Then Jesus called the twelve together and gave them power and authority over all demons and to cure diseases, and he sent them out to proclaim the kingdom of God and to heal.”
—Bible: New Testament, Luke 9:1,2.
“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)