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:

    See, I have given you authority to tread on snakes and scorpions, and over all the power of the enemy; and nothing will hurt you. Nevertheless, do not rejoice at this, that the spirits submit to you, but rejoice that your names are written in heaven.
    Bible: New Testament, Luke 10:19,20.

    And set off briskly for so slow a thing,
    Still going every which way in the joints, though,
    So that it looked like lightning or a scribble.
    Robert Frost (1874–1963)