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:
“Of course we women gossip on occasion. But our appetite for it is not as avid as a man’s. It is in the boys’ gyms, the college fraternity houses, the club locker rooms, the paneled offices of business that gossip reaches its luxuriant flower.”
—Phyllis McGinley (1905–1978)
“Colleges, in like manner, have their indispensable office,—to teach elements. But they can only highly serve us, when they aim not to drill, but to create; when they gather from far every ray of various genius to their hospitable halls, and, by the concentrated fires, set the hearts of their youth on flame.”
—Ralph Waldo Emerson (1803–1882)