scholarly journals Holomorphic extendibility and mapping degree

2007 ◽  
Vol 137 (04) ◽  
pp. 799-806
Author(s):  
Josip Globevnik
Keyword(s):  
Mapping Degree ◽  
Holomorphic Extendibility

Mapping Degree Theory

2009 ◽  
Author(s):  
Enrique Outerelo ◽  
Jesús Ruiz
Keyword(s):  
Degree Theory ◽  
Mapping Degree

A Generalization of the Mapping Degree

1974 ◽  
Vol 26 (5) ◽  
pp. 1109-1117 ◽  
Author(s):  
D. G. Bourgin
Keyword(s):  
Topological Space ◽  
Linear Topological Space ◽  
Dimensional Case ◽  
Lefschetz Number ◽  
Mapping Degree ◽  
Finite Dimensional ◽  
Finite Dimensional Case ◽  
Locally Convex

For the single-valued case the notion of degree has been given recent expression by papers of Dold [5] for the finite dimensional case, and by Leray-Schauder [8] for the locally convex linear topological space. Klee [7] has removed this restriction by use of shrinkable in place of convex neighborhoods with the central role filled by a form of (2.15) below. For set-valued maps a modern formulation is, for instance, to be found in Gorniewicz-Granas [6]. These contributions relate the degree to the Lefschetz number, and the set-valued maps are required to map points into acyclic sets; that is to say, into "swollen points".

scholarly journals Mapping degree and Euler characteristic

2006 ◽  
Vol 29 (1) ◽  
pp. 144-162 ◽  
Author(s):  
T. Fukui ◽  
A. Khovanskii
Keyword(s):  
Euler Characteristic ◽  
Mapping Degree
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