bounded set
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set is called bounded, if it is, in a certain sense, of finite size
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An artist's impression of a bounded set (top) and of an unbounded set (bottom). The set at the bottom continues forever towards the right.
In mathematical analysis and related areas of mathematics, a set is called bounded if all of its points are within a certain distance of each other. Conversely, a set which is not bounded is called unbounded. The word "bounded" makes no sense in a general topological space without a corresponding metric.
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metric space
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metrizable space
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totally bounded space
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normed vector space
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