Oka manifolds: From Oka to Stein and back

PROOF. A locally-finite family {Ui}iEI of relatively compact open sets in X is called an admissible system, if it verifies the following properties:.. Then Cm - is

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The theorem given here is a particular case of an analogous theorem concerning 1-convex spaces (cf. FAMILIES OF COMPLEX SPACES.. 1.. Families of complex

to give a proof of the following theorem on complex spaces, of which the statement made above is a particular case in view of the fact that every normal complex

Thus the question arises as to when these local extensions, of the com- plex structure of D across M, can be pieced together to give a global collar neighborhood

S0142ODKOWSKI, Analytic families of operators: variation of the

1. Their proof was an ingenious application of the approximation methods of Behnke and Stein. Open Riemann surfaces are precisely Stein manifolds of complex dimension

Let N be a compact complex manifold of dimension n, with KShler metric of strongly negative curvature, for example a nonsingular quotient of the unit ball in