# bounded set

A set in a topological vector space is 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 BoundedSet 2013-03-22 15:59:12 2013-03-22 15:59:12 Mathprof (13753) Mathprof (13753) 4 Mathprof (13753) Definition msc 46A08