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Nielsen-Borsuk-Ulam number for maps between tori

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Autor(es):
de Melo, Givanildo Donizeti ; Vendruscolo, Daniel
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: Journal of Fixed Point Theory and Applications; v. 25, n. 2, p. 21-pg., 2023-06-01.
Resumo

We compute the Nielsen-Borsuk-Ulam number for any self-map of n-torus, T-n, as well as any free involution t in T-n, with n = 3. Finally, we conclude that the tori, T-1, T-2 and T-3, are Wecken spaces in Nielsen-Borsuk-Ulam theory. Such a number is a lower bound for the minimal number of pair of points such that f(x) = f (t(x)) in a given homotopy class of maps. (AU)

Processo FAPESP: 16/24707-4 - Topologia algébrica, geométrica e diferencial
Beneficiário:Daciberg Lima Gonçalves
Modalidade de apoio: Auxílio à Pesquisa - Temático