Finite sets containing zero are mapping degree sets
arXiv:2301.13719 · doi:10.1016/j.aim.2024.109942
Abstract
In this paper we solve in the positive the question of whether any finite set of integers, containing the zero, is the mapping degree set between two oriented closed connected manifolds of the same dimension. We extend this question to the rational setting, where an affirmative answer is also given.
Final version accepted for publication in Advances in Mathematics