What is this property called? Let $(V,\,+,\,\cdot\,)$ be a vectorspace and $D\subset V$ a set with the following properties 
For $\;\lambda D:=\{\lambda d\mid d\in D\}\;\textrm{ and}\;\;\lambda,\, \mu\ge0$:
$$0\in D$$
$$\bigcup_{\lambda\in\mathbb{R}}\lambda D=V$$
$$\lambda<\mu\Rightarrow\lambda D\subset\mu D$$
In other words, the set can be bloated up to fill the entire space.
It would be practical to give this property a name for the paper I am working on, because it is referenced rather often. 
Is there a naming convention? If not, what would you suggest?

Related to absorbing set found in wikipedia
