Club Set

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
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    But only grave, contemplative and grave.
    Robert Frost (1874–1963)