Le problème général des réunions de Stein est résolu : étant donné une suite croissante des ouverts de Stein, on démontre que la réunion est de Stein si et seulement si est séparé.
The general Stein union problem is solved: given an increasing sequence of Stein open sets, it is shown that the union is Stein if and only if is Hausdorff separated.
@article{AIF_1977__27_3_117_0, author = {Markoe, Andrew}, title = {Runge families and inductive limits of Stein spaces}, journal = {Annales de l'Institut Fourier}, volume = {27}, year = {1977}, pages = {117-127}, doi = {10.5802/aif.663}, mrnumber = {58 \#28665}, zbl = {0323.32014}, language = {en}, url = {http://dml.mathdoc.fr/item/AIF_1977__27_3_117_0} }
Markoe, Andrew. Runge families and inductive limits of Stein spaces. Annales de l'Institut Fourier, Tome 27 (1977) pp. 117-127. doi : 10.5802/aif.663. http://gdmltest.u-ga.fr/item/AIF_1977__27_3_117_0/
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