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)
“Please do not take counsel of women who are so prejudiced that, as I once heard said, they would not allow a male grasshopper to chirp on their lawn; but out of your own great heart, refuse to set an example to such folly.”
—Frances E. Willard (1839–1898)