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

…

…

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.

Revised on November 2, 2017 15:38:53
by Urs Schreiber
(46.183.103.8)