In mathematics, particularly in mathematical logic and set theory, a club set is a subset of a limit ordinal which is closed under the order topology, and is unbounded (see below) relative to the limit ordinal. The name club is a contraction of "closed and unbounded".
Read more about Club Set: Formal Definition, The Closed Unbounded Filter
Famous quotes containing the words club and/or set:
“I spoke at a woman’s club in Philadelphia yesterday and a young lady said to me afterwards, “Well, that sounds very nice, but don’t you think it is better to be the power behind the throne?” I answered that I had not had much experience with thrones, but a woman who has been on a throne, and who is now behind it, seems to prefer to be on the throne.”
—Anna Howard Shaw (1847–1919)
“The people always have some champion whom they set over them and nurse into greatness.... This and no other is the root from which a tyrant springs; when he first appears he is a protector.”
—Plato (c. 427–347 B.C.)