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 will to power can express itself only against resistances; it seeks that which resists it—this is the native tendency of the amoeba when it extends its pseudopodia and gropes around.”
    —Friedrich Nietzsche (1844–1900)

    “When you set out for Ithaca
    ask that your way be long.”
    —Constantine Cavafy (1863–1933)