_{i}(\Lambda \times G) \subseteq \bigcup_{i=0}^{n} {{\mathcal B}}_i}$ for every $n \in {{\mathbb N}}$  0.  Conditional on $({{\mathcal B}}_i)_{0\leq i \leq n}$, ${{\mathcal B}}_{n+0}$ is a Poisson process with intensity 