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)
“There one that ruffled in a manly pose
For all his timid heart, there that slow man,
That meditative man, John Synge, and those
Impetuous men, Shawe-Taylor and Hugh Lane,
Found pride established in humility,
A scene well set and excellent company.”
—William Butler Yeats (1865–1939)