论文标题
在Euler-Poincaré的特征上,简单连接的合理椭圆形CW复合
On the Euler-Poincaré characteristics of a simply connected rationally elliptic CW-complex
论文作者
论文摘要
对于简单地连接的合理椭圆形的CW-Complex $ X $,我们表明共同体和同质性Euler-Poincaré特征与两个新的数值不变性有关,即$η_{x} $和$ρ_{X} $,我们使用Quillen和sullen $ sullen和sullen模型的白头精确序列进行定义的$ρ_{X} $。
For a simply connected rationally elliptic CW-complex $X$, we show that the cohomology and the homotopy Euler-Poincaré characteristics are related to two new numerical invariants namely $η_{X}$ and $ρ_{X}$ which we define using the Whitehead exact sequences of the Quillen and the Sullivan models of $X$.