Labelling rules and orientation: On Sperner's lemma and brouwer degree

1981 ◽  
pp. 238-257 ◽  
Author(s):  
G. V. D. Laan ◽  
A. J. J. Talman
Keyword(s):  
Brouwer Degree ◽  
Sperner’S Lemma

Using volume to prove Sperner’s Lemma

2007 ◽  
Vol 35 (3) ◽  
pp. 593-597 ◽  
Author(s):  
Andrew McLennan ◽  
Rabee Tourky
Keyword(s):  
Sperner’S Lemma

scholarly journals Computing the Brouwer degree in $R\sp{2}$

1973 ◽  
Vol 27 (121) ◽  
pp. 133-133
Author(s):  
P. J. Erdelsky
Keyword(s):  
Brouwer Degree

scholarly journals Nontrivial solutions of a nonlinear heat flow problem via Sperner’s Lemma

2009 ◽  
Vol 22 (9) ◽  
pp. 1444-1450 ◽  
Author(s):  
P.K. Palamides ◽  
G. Infante ◽  
P. Pietramala
Keyword(s):  
Heat Flow ◽  
Flow Problem ◽  
Nontrivial Solutions ◽  
Sperner’S Lemma

Degree, quaternions and periodic solutions

2021 ◽  
Vol 379 (2191) ◽  
pp. 20190378
Author(s):  
Jean Mawhin
Keyword(s):  
Fixed Point ◽  
Periodic Solutions ◽  
Difference Equations ◽  
Topological Degree ◽  
Coincidence Degree ◽  
Degree Theory ◽  
Brouwer Degree ◽  
Homogeneous Polynomials ◽  
Theme Issue ◽  
Existence And Multiplicity

The paper computes the Brouwer degree of some classes of homogeneous polynomials defined on quaternions and applies the results, together with a continuation theorem of coincidence degree theory, to the existence and multiplicity of periodic solutions of a class of systems of quaternionic valued ordinary differential equations. This article is part of the theme issue ‘Topological degree and fixed point theories in differential and difference equations’.

scholarly journals Brouwer degree, equivariant maps and tensor powers

1998 ◽  
Vol 3 (3-4) ◽  
pp. 401-409 ◽  
Author(s):  
Z. Balanov ◽  
W. Krawcewicz ◽  
A. Kushkuley
Keyword(s):  
Differential Equations ◽  
Faithful Representation ◽  
Brouwer Degree ◽  
Symmetric Powers ◽  
Equivariant Maps ◽  
Tensor Powers

A construction of equivariant maps based on factorization through symmetric powers of a faithful representation is presented together with several examples of related equivariant maps. Applications to differential equations are also discussed.

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