Geodesic
The metric space of Riemann surfaces over the~sphere
Sbornik. Mathematics, Tome 82 (1995) no. 2, pp. 337-356

Voir la notice de l'article provenant de la source Math-Net.Ru

The space of branched coverings of the Riemann sphere, augmented by degenerate elements (the points of the sphere), is given a metric compatible with kernel-convergence. 
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     author = {S. R. Nasyrov},
     title = {The metric space of {Riemann} surfaces over the~sphere},
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S. R. Nasyrov. The metric space of Riemann surfaces over the~sphere. Sbornik. Mathematics, Tome 82 (1995) no. 2, pp. 337-356. http://geodesic.mathdoc.fr/item/SM_1995_82_2_a5/