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.
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.
@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}, pages = {117--127}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {27}, number = {3}, year = {1977}, doi = {10.5802/aif.663}, mrnumber = {58 #28665}, zbl = {0323.32014}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.663/} }
TY - JOUR AU - Markoe, Andrew TI - Runge families and inductive limits of Stein spaces JO - Annales de l'Institut Fourier PY - 1977 SP - 117 EP - 127 VL - 27 IS - 3 PB - Institut Fourier PP - Grenoble UR - http://www.numdam.org/articles/10.5802/aif.663/ DO - 10.5802/aif.663 LA - en ID - AIF_1977__27_3_117_0 ER -
Markoe, Andrew. Runge families and inductive limits of Stein spaces. Annales de l'Institut Fourier, Volume 27 (1977) no. 3, pp. 117-127. doi : 10.5802/aif.663. http://www.numdam.org/articles/10.5802/aif.663/
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