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.
Read more about this topic: Power Set
Famous quotes containing the words power and/or set:
“Power and violence are opposites; where the one rules absolutely, the other is absent. Violence appears where power is in jeopardy, but left to its own course it ends in power’s disappearance.”
—Hannah Arendt (1906–1975)
“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....”
—William Butler Yeats (1865–1939)