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 \(\eta _{X}\) and \(\rho _{X}\) which we define using the Whitehead exact sequences of the Quillen and the Sullivan models of X.

中文翻译：

---

单连通有理椭圆连续波复形的欧拉-庞加莱特征

对于简单连通的有理椭圆 CW 复X，我们证明了上同调和同伦 Euler-Poincaré 特征与两个新的数值不变量有关，即\(\eta _{X}\)和\(\rho _{X} \)我们使用X的 Quillen 和 Sullivan 模型的 Whitehead 精确序列定义。