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:
“We have no higher life that is really apart from other people. It is by imagining them that our personality is built up; to be without the power of imagining them is to be a low-grade idiot.”
—Charles Horton Cooley (1864–1929)
“True love does not quarrel for slight reasons, such mistakes as mutual acquaintances can explain away, but, alas, however slight the apparent cause, only for adequate and fatal and everlasting reasons, which can never be set aside.”
—Henry David Thoreau (1817–1862)