We prove that each open Riemann surface can be locally biholomorphically (locally univalently) mapped onto the whole complex plane. We also study finite-to-one locally biholomorphic mappings onto the unit disc. Finally, we investigate surjective biholomorphic mappings from Cartesian products of domains.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap82-2-3, author = {Ewa Ligocka}, title = {On locally biholomorphic surjective mappings}, journal = {Annales Polonici Mathematici}, volume = {81}, year = {2003}, pages = {127-135}, zbl = {1057.30019}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap82-2-3} }
Ewa Ligocka. On locally biholomorphic surjective mappings. Annales Polonici Mathematici, Tome 81 (2003) pp. 127-135. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap82-2-3/