Definition:Absorbing Set

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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 $n$.

Also see

  • Results about absorbing sets in vector spaces can be found here.