Nielsen-Borsuk-Ulam number for maps between tori
Algebraic Topology
2022-01-03 v2
Abstract
We compute the Nielsen-Borsuk-Ulam number for any selfmap of torus, , as well as any free involution in , with . Finally, we conclude that the tori, , and , 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 in a given homotopy class of maps.
Cite
@article{arxiv.2107.02356,
title = {Nielsen-Borsuk-Ulam number for maps between tori},
author = {Givanildo Donizeti de Melo and Daniel Vendrúscolo},
journal= {arXiv preprint arXiv:2107.02356},
year = {2022}
}
Comments
21 pages