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:
“Coal lay in ledges under the ground since the Flood, until a laborer with pick and windlass brings it to the surface. We may will call it black diamonds. Every basket is power and civilization. For coal is a portable climate.”
—Ralph Waldo Emerson (1803–1882)
“But at the coming of the King of Heaven
All’s set at six and seven:
We wallow in our sin;
Christ cannot finde a chamber in the inn.”
—Unknown. Yet if His Majesty, Our Sovereign Lord (l. 25–28)