Geodesic
On the intersection of some classes of convergences
Diskretnaya Matematika, Tome 5 (1993) no. 4, pp. 24-28

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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 $\beta-$. 
@article{DM_1993_5_4_a1,
     author = {A. N. Degtev},
     title = {On the intersection of some classes of convergences},
     journal = {Diskretnaya Matematika},
     pages = {24--28},
     publisher = {mathdoc},
     volume = {5},
     number = {4},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_1993_5_4_a1/}
}
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A. N. Degtev. On the intersection of some classes of convergences. Diskretnaya Matematika, Tome 5 (1993) no. 4, pp. 24-28. http://geodesic.mathdoc.fr/item/DM_1993_5_4_a1/