There exists a family $(({\mathcal{V}}_{\alpha},z_{\alpha}))_{\alpha\in A}$ of adapted coordinate charts, such that $({\mathcal{V}}_{\alpha})_{\alpha}$ forms a locally finite covering of $D$ and such that the strata $Y_{\alpha}$ of the ${\mathcal{V}}_{\alpha}$ satisfy

$$\bigcap_{\beta\in B}{\mathcal{V}}_{\beta}\neq\emptyset\Longrightarrow\bigcap_{\beta\in B}Y_{\beta}\neq\emptyset$$

(2.3)

for every finite $B\subset A$.