Definition:Absorbing Set

Definition
Let $\Bbb F$ be a subfield of $\C$.

Let $X$ be a vector space over $\Bbb F$.

Let $A \subseteq X$.

We say that $A$ is absorbing :


 * $\ds X = \bigcup_{n \mathop = 1}^\infty n A$

where $n A$ is the dilation of $A$ by $n$.