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 19:38:53. See the history of this page for a list of all contributions to it.