An open mapping theorem for analytic multifunctions

Zbigniew Słodkowski

ArticleOriginal scientific text

Title

An open mapping theorem for analytic multifunctions

Authors ¹

Affiliations

Department of Mathematics, Statistics and Computer Science, College of Liberal Arts and Sciences, University of Illinois at Chicago, 851 South Morgan Str. Chicago, Illinois 60607-7045, U.S.A.

Abstract

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

Affiliations

Abstract

Bibliography