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:

    “The power that I have on you is to spare you;
    The malice towards you, to forgive you. Live,
    And deal with others better.”
    —William Shakespeare (1564–1616)

    “I am no source of honey
    So why should they turn on me?
    Tomorrow I will be sweet God, I will set them free.

    The box is only temporary.”
    —Sylvia Plath (1932–1963)