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)
“I set out on this ground, which I suppose to be self evident, “that the earth belongs in usufruct to the living”: that the dead have neither powers nor rights over it.”
—Thomas Jefferson (1743–1826)