bounded function

**analysis** (differential/integral calculus, functional analysis, topology)

metric space, normed vector space

open ball, open subset, neighbourhood

convergence, limit of a sequence

compactness, sequential compactness

continuous metric space valued function on compact metric space is uniformly continuous

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A function to a metric space is *bounded* if its image is a bounded subset.

More generally there is a concept of bounded function between bornological sets.

Last revised on November 2, 2017 at 15:38:53. See the history of this page for a list of all contributions to it.