Contents

# Contents

## Definition

Let $V$ be a vector space over $\mathbb{R}$ or $\mathbb{C}$. A subset $B$ of $V$ is said to be absorbing if $\bigcup_{r \gt 0} r B = V$.

## Examples

• The unit ball in a seminormed vector space is absorbing.
• The linear span of absolutely convex set $C$ in a vector space has $C$ as an absorbing set.

Last revised on June 17, 2018 at 20:46:16. See the history of this page for a list of all contributions to it.