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:
“Fear death?—to feel the fog in my throat,
The mist in my face,
When the snows begin, and the blasts denote
I am nearing the place,
The power of the night, the press of the storm,
The post of the foe;
Where he stands, the Arch Fear in a visible form,
Yet the strong man must go:”
—Robert Browning (1812–1889)
“And that enquiring man John Synge comes next,
That dying chose the living world for text
And never could have rested in the tomb
But that, long travelling, he had come
Towards nightfall upon certain set apart
In a most desolate stony place....”
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