一个合理的障碍是戈特利布地图
A rational obstruction to be a Gottlieb map
摘要：
本文从有理同伦理论的角度研究了{ \it Gottlieb映射}，即对所有的$n$，引入Gottlieb群$π_n (f)|_{G_n(E)}:G_n(E)\to G_n(B)$之间的映射的映射$f:E\to B$，定义阻塞群$O(f)$是一个Gottlieb映射和一个数值不变量$o(f)$ .在某些情况下，它自然地推导出$E$的相对分裂。我们还说明了几个合理的例子Gottlieb地图和非Gottlieb地图使用沙利文模型中的推导参数。
英文摘要：
We investigate {\it Gottlieb map}s, which are maps $f:E\to B$ that induce the maps between the Gottlieb groups $π_n (f)|_{G_n(E)}:G_n(E)\to G_n(B)$ for all $n$, from a rational homotopy theory point of view.We will define the obstruction group $O(f)$ to be a Gottlieb map and a numerical invariant $o(f)$. It naturally deduces a relative splitting of $E$ in certain cases. We also illustrate several rational examples of Gottlieb maps and non-Gottlieb maps by using derivation arguments in Sullivan models.
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