Nielsen-Borsuk-Ulam number for maps between tori

Author(s)

de Melo, Givanildo Donizeti ; Vendruscolo, Daniel

• Document type: Journal article
• Source: Journal of Fixed Point Theory and Applications; v. 25, n. 2, p. 21-pg., 2023-06-01.

Abstract

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)

• FAPESP's process: 16/24707-4 - Algebraic, geometric and differential topology
• Grantee: Daciberg Lima Gonçalves
• Support Opportunities: Research Projects - Thematic Grants