On the intersection of some classes of convergences

Families of fundamental convergences of tabular type $\{tt-,l-,p-,c-,d-,b-,m-\}$ and convergences with respect to enumerability $\{e-,s-,p-,pc-,c-,d-,m-\}$ are closed with respect to the operation of intersection of the convergences $\alpha$ and $\beta$ $(A\le_{\alpha-\beta}B\Leftrightarrow A\le_{\alpha}B\wedge A\le_{\beta}B)$. We prove that $\alpha-\beta$ convergences are different from the others in the families obtained as soon as $\alpha-$ is incommensurate in force with the convergence $\beta-$.