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:

    “My great panacea for making society at once better and more enjoyable would be to cultivate greater sincerity.”
    —Frances Power Cobbe (1822–1904)

    “But now I see I was not plucked for naught,
    And after in life’s vase
    Of glass set while I might survive,
    But by a kind hand brought
    Alive
    To a strange place.”
    —Henry David Thoreau (1817–1862)