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:
“We have ourselves to answer for.”
—“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, pp. 24-5 (January 1870)
“They roused him with muffins—they roused him with ice—
They roused him with mustard and cress—
They roused him with jam and judicious advice—
They set him conundrums to guess.”
—Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)