Boundary continuity of complete proper holomorphic maps

We show that there is no complete proper holomorphic map from the disc Δ to the bidisc Δ2 which extends continuously through Δ¯.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2015-04, Vol.424 (1), p.824-825
Main Author: Globevnik, Josip
Format: Article
Language:English
Subjects:
Complete holomorphic maps
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Description
Summary:We show that there is no complete proper holomorphic map from the disc Δ to the bidisc Δ2 which extends continuously through Δ¯.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2014.11.016