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)
“To Time it never seems that he is brave
To set himself against the peaks of snow
To lay them level with the running wave,
Nor is he overjoyed when they lie low,
But only grave, contemplative and grave.”
—Robert Frost (1874–1963)