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:
“In another year I’ll have enough money saved. Then I’m gonna go back to my hometown in Oregon and I’m gonna build a house for my mother and myself. And join the country club and take up golf. And I’ll meet the proper man with the proper position. And I’ll make a proper wife who can run a proper home and raise proper children. And I’ll be happy, because when you’re proper, you’re safe.”
—Daniel Taradash (b. 1913)
“When desire, having rejected reason and overpowered judgment which leads to right, is set in the direction of the pleasure which beauty can inspire, and when again under the influence of its kindred desires it is moved with violent motion towards the beauty of corporeal forms, it acquires a surname from this very violent motion, and is called love.”
—Socrates (469–399 B.C.)