Category:Definitions/Absorbing Sets

This category contains definitions related to Absorbing Sets.
Related results can be found in Category:Absorbing Sets.

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 if and only if:

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

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