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:
“Purchasing power is a license to purchase power.”
—Raoul Vaneigem (b. 1934)
“Never so rich a gem
Was set in worse than gold.”
—William Shakespeare (1564–1616)