Home / Get Math Help
Bounded Set
Definition
A set S in a metric space (S, d) is bounded if it has a finite generalized diameter, i.e., there is an R<∞ such that d(x, y)<=R for all x, y element S. A set in R^n is bounded iff it is contained inside some ball x_1^2 + ... + x_n^2<=R^2 of finite radius R.
Related term