Abstract
We give an elementary real analysis proof that an analytic function on an open region, not constant on any non-void open subset, is an open mapping.
Citation
F. S. Cater. "An Elementary Proof That Analytic Functions Are Open Mappings." Real Anal. Exchange 27 (1) 389 - 392, 2001/2002.
Information
Published: 2001/2002
First available in Project Euclid: 6 June 2008
zbMATH: 1075.30500
MathSciNet: MR1887870
Subjects:
Primary:
30D10
,
54C10
Keywords:
Analytic function
,
open mapping
,
Power series
Rights: Copyright © 2001 Michigan State University Press
