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:

    He loved to sit silent in a corner of his club and listen to the loud chattering of politicians, and to think how they all were in his power—how he could smite the loudest of them, were it worth his while to raise his pen for such a purpose.
    Anthony Trollope (1815–1882)

    He could walk, or rather turn about in his little garden, and feel more solid happiness from the flourishing of a cabbage or the growing of a turnip than was ever received from the most ostentatious show the vanity of man could possibly invent. He could delight himself with thinking, “Here will I set such a root, because my Camilla likes it; here, such another, because it is my little David’s favorite.”
    Sarah Fielding (1710–1768)