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:

    “Mi advise tu them who are about tu begin, in arnest, the jurney ov life, is tu take their harte in one hand and a club in the other.”
    —Josh Billings [Henry Wheeler Shaw] (1818–1885)

    “Then when he saw it could hold no more,
    Bishop Hatto, he made fast the door;
    And while for mercy on Christ they call,
    He set fire to the barn and burnt them all.”
    —Robert Southey (1774–1843)