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)

    “Take pains ... to write a neat round, plain hand, and you will find it a great convenience through life to write a small and compact hand as well as a fair and legible one.”
    —Thomas Jefferson (1743–1826)