广义Gottlieb集的提升

The Liftings of the Generalized Gottlieb Sets

映射ｐ：Ｅθ→Ｘ是由θ：Ｘ→Ｂ诱导出的主纤维化，ｇ：Ａ→Ｘ是一个ｖ－循环的映射，这里ｖ：Ｘ→Ｘ是一映射，若映射ｖ：Ｅ→Ｅθ和映射ｐ：Ｅ→Ｘ满足ｐｖｖｐ．

Let the map p:E θ→X be a principle fibrafion induced by a map θ:X→B , and g:A→X be a v cyclic map, where v:→X be a given map. If the given maps :→E θ and :→ satisfy p v, when does g lift to a map A→E θ which is -cyclic? This paper gives an answer of this question for arbitrary A and B .