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:
“The power of the past does not depend on our knowledge of it.”
—Mason Cooley (b. 1927)
“I hate the whole race.... There is no believing a word they say—your professional poets, I mean—there never existed a more worthless set than Byron and his friends for example.”
—Arthur Wellesley, 1st Duke Wellington (1769–1852)