Nielsen-Borsuk-Ulam number for maps between tori

被引：0

作者：

de Melo, Givanildo Donizeti ^{[1
]}

Vendruscolo, Daniel ^{[2
]}

机构：

[1] Univ Fed Reconcavo Bahia, Cruz Das Almas, BA, Brazil

[2] Univ Fed Sao Carlos, Sao Carlos, SP, Brazil

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2023年 / 25卷 / 02期

基金：

巴西圣保罗研究基金会;

关键词：

Borsuk-Ulam Theorem; Nielsen-Borsuk-Ulam number; involutions; torus;

D O I：

10.1007/s11784-023-01065-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：21

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