广义Gottlieb集的提升

The Lifting of the Generlized Gottlieb Sets

设映射P:E_0是由θ:X→B诱导出的主纤维化,g:A→X是一个v—循环映射,这里v:→X是一映射,若映射:→E_0和映射:→满足p·≌v·,问在什么条件下g:A→X存在—循环的提升?本文给出在最一般条件下存在循环提升的充要条件。

Let the map p:E_9→X be a principle fibration induced by a map θ:X→B, Let g: A→X be a v—cyclic map, where v:→X be a given map. If the given maps :→E. and : → satisfy p≌v, when does g lift to a map A→E, which is —cyclic?we give an answer of this question for arbitrary A and B.