论文标题
倒塌的亚历山德罗夫空间的欧拉特征
Euler characteristics of collapsing Alexandrov spaces
论文作者
论文摘要
我们证明，倒塌的Alexandrov空间（特别是Riemannian歧管）的Euler特征等于欧拉特征的产物之和，并紧凑地支持了极限空间的地层和纤维在层面上的欧拉特征。这是由Semyon Alesker猜想的。
We prove that the Euler characteristic of a collapsing Alexandrov space (in particular, a Riemannian manifold) is equal to the sum of the products of the Euler characteristics with compact support of the strata of the limit space and the Euler characteristics of the fibers over the strata. This was conjectured by Semyon Alesker.
