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:
“What wouldst thou do, old man?
Think’st thou that duty shall have dread to speak
When power to flattery bows?”
—William Shakespeare (1564–1616)
“Surely, ‘tis one step towards acting well, to think worthily of our nature; and as in common life, the way to make a man honest, is, to suppose him so ... so here, to set some value upon ourselves, enables us to support the character ... of generosity and virtue.”
—Laurence Sterne (1713–1768)