Category:Definitions/Absorbing Sets

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

Let $\GF$ 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:

for all $x \in X$ there exists $t \in \R_{> 0}$ such that $x \in \alpha C$ for $\cmod \alpha \ge t$

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