Displaying similar documents to “Continuity of intersection of analytic sets”

On asymptotic solutions of analytic equations

Jacek Stasica (2003)

Annales Polonici Mathematici


Sufficient conditions for the existence of an analytic solution of analytic equations in the complex and real cases are given.

Generalized iterated function systems, multifunctions and Cantor sets

Maciej Klimek, Marta Kosek (2009)

Annales Polonici Mathematici


Using a construction similar to an iterated function system, but with functions changing at each step of iteration, we provide a natural example of a continuous one-parameter family of holomorphic functions of infinitely many variables. This family is parametrized by the compact space of positive integer sequences of prescribed growth and hence it can also be viewed as a parametric description of a trivial analytic multifunction.

A remark on the identity principle for analytic sets

Marek Jarnicki, Peter Pflug (2011)

Colloquium Mathematicae


We present a version of the identity principle for analytic sets, which shows that the extension theorem for separately holomorphic functions with analytic singularities follows from the case of pluripolar singularities.

Bounded analytic sets in Banach spaces

Volker Aurich (1986)

Annales de l'institut Fourier


Conditions are given which enable or disable a complex space X to be mapped biholomorphically onto a bounded closed analytic subset of a Banach space. They involve on the one hand the Radon-Nikodym property and on the other hand the completeness of the Caratheodory metric of X .