Geodesic
An open mapping theorem for analytic multifunctions
Studia Mathematica, Tome 122 (1997) no. 2, pp. 117-122
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The paper gives sufficient conditions for projections of certain pseudoconcave sets to be open. More specifically, it is shown that the range of an analytic set-valued function whose values are simply connected planar continua is open, provided there does not exist a point which belongs to boundaries of all the fibers. The main tool is a theorem on existence of analytic discs in certain polynomially convex hulls, obtained earlier by the author. 
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     title = {An open mapping theorem for analytic multifunctions},
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Zbigniew Słodkowski. An open mapping theorem for analytic multifunctions. Studia Mathematica, Tome 122 (1997) no. 2, pp. 117-122. doi: 10.4064/sm-122-2-117-122

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