数的拓扑解释
A topological interpretation of numbers
AI总结：
该研究综述映射度集实现问题的进展，证明n≥3时含零的有限集是n维流形间的映射度集，以非球面流形为构造因子，还回顾了非零度映射的开放问题。
AI中文摘要：
我们综述了映射度集实现问题的最新进展，特别说明对于每个n≥3，任何包含零的有限集都是某些n维流形之间的映射度集，实现流形的构造因子将是非球面流形，同时回顾了与非零度映射相关的几个开放问题。
英文摘要：
We survey recent advancements on the realisation problem for mapping degree sets. In particular, we explain that any finite set containing zero is the mapping degree set between some $n$-manifolds, for each $n\geq3$. Our building factors for the construction of the realising manifolds will be aspherical manifolds. Thus, along the way, we review a couple of open questions related to maps of non-zero degree for aspherical manifolds.
