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:
“At first, it must be remembered, that [women] can never accomplish anything until they put womanhood ahead of wifehood, and make motherhood the highest office on the social scale.”
—“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)
“a set of crushed and grease-
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on the wicker sofa
a dirty dog, quite comfy.”
—Elizabeth Bishop (1911–1979)