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:
“The adjustment of qualities is so perfect between men and women, and each is so necessary to the other, that the idea of inferiority is absurd.”
—“Jennie June” Croly 1829–1901, U.S. founder of the woman’s club movement, journalist, author, editor. Demorest’s Illustrated Monthly and Mirror of Fashions, p. 204 (August 1866)
“Was it an intellectual consequence of this ‘rebirth,’ of this new dignity and rigor, that, at about the same time, his sense of beauty was observed to undergo an almost excessive resurgence, that his style took on the noble purity, simplicity and symmetry that were to set upon all his subsequent works that so evident and evidently intentional stamp of the classical master.”
—Thomas Mann (1875–1955)