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:
“Now to him who by the power at work within us is able to accomplish abundantly far more than all we can ask or imagine, to him be glory in the church and in Christ Jesus to all generations, forever and ever. Amen.”
—Bible: New Testament, Ephesians 3:20-21.
“Who set this ancient quarrel new abroach?”
—William Shakespeare (1564–1616)