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Doctoral Thesis
DOI
Document
Author
Full name
Edson de Oliveira
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1987
Supervisor
Committee
Goncalves, Daciberg Lima (President)
Borsari, Lucilia Daruiz
Daccach, Janey Antonio
Randall, Alwyn Duane
Santos, Joselindo dos
Title in Portuguese
TEORIA DE NIELSEN PARA COINCIDÊNCIA E ALGUMAS APLICAÇÕES
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Não disponível
Title in English
Not available
Keywords in English
Not available
Abstract in English
This work is made of two parts. In the first part, with the use of covering spaces, we study the Nielsen number of coincidence of functions. In the second part, we make some applications of the results of the first part. Being f,g: M → M continuous maps, with M an oriented, connected, closed manifold, we compute' A(f,g) when H*(M;Q) has a simple syStems of generators. If M is in addition an H-space with multiplication m, let us define, for x ∈ M, m2(x) = m(x,x) and mk(x)=m(x,mm-1(x)) for k ≥ 2. We .show that the equation mk(x) = ms(x), k > s, has , at least (k-s)β roots, where β is the first Betti number of M , and further we study the primitive roots of such equation.
 
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Publishing Date
2019-10-08
 
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