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Bounded set
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== Boundedness in topological vector spaces == {{main|Bounded set (topological vector space)}} In [[topological vector space]]s, a different definition for bounded sets exists which is sometimes called [[von Neumann bounded]]ness. If the topology of the topological vector space is induced by a [[metric (mathematics)|metric]] which is [[homogeneous metric|homogeneous]], as in the case of a metric induced by the [[norm (mathematics)|norm]] of [[normed vector spaces]], then the two definitions coincide.
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