A necessary and sufficient condition, which is a weak converse of a classical theorem of Behnke-Stein, in order that a limit of Stein spaces be again a Stein space is proved.
Une condition nécessaire et suffisante pour qu’une limite d’espaces de Stein soit un espace de Stein est prouvée. Cette condition donne une réciproque faible d’un théorème classique de Behnke-Stein.
@article{AIF_1978__28_2_187_0, author = {Silva, Alessandro}, title = {Rungescher {Satz} and a condition for {Steiness} for the limit of an increasing sequence of {Stein} spaces}, journal = {Annales de l'Institut Fourier}, pages = {187--200}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {28}, number = {2}, year = {1978}, doi = {10.5802/aif.695}, zbl = {0365.32008}, mrnumber = {58 #22656}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.695/} }
TY - JOUR AU - Silva, Alessandro TI - Rungescher Satz and a condition for Steiness for the limit of an increasing sequence of Stein spaces JO - Annales de l'Institut Fourier PY - 1978 SP - 187 EP - 200 VL - 28 IS - 2 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.695/ DO - 10.5802/aif.695 LA - en ID - AIF_1978__28_2_187_0 ER -
%0 Journal Article %A Silva, Alessandro %T Rungescher Satz and a condition for Steiness for the limit of an increasing sequence of Stein spaces %J Annales de l'Institut Fourier %D 1978 %P 187-200 %V 28 %N 2 %I Institut Fourier %C Grenoble %U https://aif.centre-mersenne.org/articles/10.5802/aif.695/ %R 10.5802/aif.695 %G en %F AIF_1978__28_2_187_0
Silva, Alessandro. Rungescher Satz and a condition for Steiness for the limit of an increasing sequence of Stein spaces. Annales de l'Institut Fourier, Volume 28 (1978) no. 2, pp. 187-200. doi : 10.5802/aif.695. https://aif.centre-mersenne.org/articles/10.5802/aif.695/
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