bounded set

A set in a topological vector space is bounded if it is absorbed by every neighborhood of 0. That is, $B$ is bounded if for every neighborhood $U$ of 0, there is a $\delta>0$ such that $\epsilon B\subset U$ for $0\leq\epsilon<\delta$ .

Title	bounded set
Canonical name	BoundedSet
Date of creation	2013-03-22 15:59:12
Last modified on	2013-03-22 15:59:12
Owner	Mathprof (13753)
Last modified by	Mathprof (13753)
Numerical id	4
Author	Mathprof (13753)
Entry type	Definition
Classification	msc 46A08