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 :
 * $\forall x \in X: \exists t \in \R_{>0}: x \in t A$.

where $t A$ denotes the dilation of $A$ by $t$.