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:
“In our governments the real power lies in the majority of the community, and the invasion of private rights is chiefly to be apprehended, not from the acts of government contrary to the sense of the constituents, but from the acts in which government is the mere instrument of the majority.”
—James Madison (1751–1836)
“Artists the minute they set up as artists,
Before, that is, they are themselves accepted,
And boys the minute they get out of college.
I can’t help thinking those are tests to go by.”
—Robert Frost (1874–1963)