scholarly journals A topological completeness concept with applications to the open mapping theorem and the separation of convex sets

1990 ◽  
Vol 35 (1) ◽  
pp. 53-69 ◽  
Author(s):  
Dominikus Noll
Keyword(s):  
Convex Sets ◽  
Open Mapping ◽  
Open Mapping Theorem ◽  
Separation Of Convex Sets

Separating Singularities of Holomorphic Functions

1998 ◽  
Vol 41 (4) ◽  
pp. 473-477 ◽  
Author(s):  
Jürgen Müller ◽  
Jochen Wengenroth
Keyword(s):  
Approximation Theory ◽  
Classical Result ◽  
Short Proof ◽  
Holomorphic Functions ◽  
Open Mapping ◽  
Complex Approximation ◽  
Basic Tool ◽  
Open Mapping Theorem ◽  
Separation Results

AbstractWe present a short proof for a classical result on separating singularities of holomorphic functions. The proof is based on the open mapping theorem and the fusion lemma of Roth, which is a basic tool in complex approximation theory. The same method yields similar separation results for other classes of functions.

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