}$$ for any sequence $(\Lambda_n)_{n \in {{\mathbb N}}} \subseteq {{\mathcal B}}^0_{{{\mathbb{Z}}}^d}$ of simply connected sets with $\Lambda_n \nearrow {{\mathbb{Z}}}^d$.  0.  The measures $\mu^+$ and $\mu^-$ satisfy the sea with islands picture for the $+$ and $-$ spins, respectively.  0.  The measures $\mu^+$ and $\mu^-$ are continuous in $\lambda$