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.
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.
@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}, volume = {28}, year = {1978}, pages = {187-200}, doi = {10.5802/aif.695}, mrnumber = {58 \#22656}, zbl = {0365.32008}, language = {en}, url = {http://dml.mathdoc.fr/item/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, Tome 28 (1978) pp. 187-200. doi : 10.5802/aif.695. http://gdmltest.u-ga.fr/item/AIF_1978__28_2_187_0/
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