Bounded Set

Bounded Set

In mathematical analysis and related areas of mathematics, a set is called bounded, if it is, in a certain sense, of finite size. Conversely, a set which is not bounded is called unbounded. The word bounded makes no sense in a general topological space, without a metric.

Read more about Bounded Set:  Definition, Metric Space, Boundedness in Topological Vector Spaces, Boundedness in Order Theory

Famous quotes containing the words bounded and/or set:

    I could be bounded in a nutshell and count myself a king of
    infinite space, were it not that I have bad dreams.
    William Shakespeare (1564–1616)

    And, in those offices, my doggerel
    Was not set up in blunt ten-point, nor read
    By a distinguished cousin of the mayor....
    Philip Larkin (1922–1986)