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:
“Immediately aware that power had gone forth from him, Jesus turned about in the crowd and said, “Who touched my clothes?””
—Bible: New Testament, Mark 5:30.
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—Henry David Thoreau (1817–1862)