Weakly Compact

Weakly compact can refer to:

  • Weakly compact cardinal, an infinite cardinal number on which every binary relation has an equally large homogeneous subset
  • Weakly compact set, a compact set in a space with the weak topology
  • Weakly compact set, a set that has some but not all of the properties of compact sets, for example:
    • Sequentially compact space, a set in which every infinite sequence has a convergent subsequence
    • Limit point compact, a set in which every infinite subset of X has a limit point

Famous quotes containing the words weakly and/or compact:

    “Let’s not quibble! I’m the foe of moderation, the champion of excess. If I may lift a line from a die-hard whose identity is lost in the shuffle, “I’d rather be strongly wrong than weakly right.””
    —Tallulah Bankhead (1903–1968)

    “The Puritans, to keep the remembrance of their unity one with another, and of their peaceful compact with the Indians, named their forest settlement CONCORD.”
    —Ralph Waldo Emerson (1803–1882)