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math.CV2005
The pluri-fine topology is locally connected
Said El Marzguioui, Jan Wiegerinck
We prove that the pluri-fine topology on any open set in is locally connected. This answers a question by Fuglede in [4]. See also Bedford [6].
math.CV2005
More Approximation on Disks
Peter de Paepe, Jan Wiegerinck
In this paper we study the function algebra generated by z^2 and g^2 on a small closed disk centered at the origin of the complex plane. We prove, using a biholomorphic change of c…
math.CV2005
Graphs with multiple sheeted pluripolar hulls
Evgeny Poletsky, Jan Wiegerinck
In this paper we study the pluripolar hulls of analytic sets. In particular, we show that hulls of graphs of analytic functions can be multiple sheeted and sheets can be separated…