Power Set - Topologization of Power Set

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:

    Mischief springs from the power which the moneyed interest derives from a paper currency which they are able to control, from the multitude of corporations with exclusive privileges ... which are employed altogether for their benefit.
    Andrew Jackson (1767–1845)

    I have heard, in such a way as to believe it, of your recently saying that both the Army and the Government needed a Dictator. Of course it was not for this, but in spite of it, that I have given you the command. Only those generals who gain success, can set up dictators.
    Abraham Lincoln (1809–1865)