Geodesic
An open mapping theorem for analytic multifunctions
Studia Mathematica, Tome 122 (1997) no. 2, pp. 117-122

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-122-2-117-122

Zbigniew Słodkowski 1

1 
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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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