For the continuous flows defined on a topological space,we have discussed some properties for the invariant sets and their domains of influence.We have proved the following open problem posed by C.Conley:an attractor ...For the continuous flows defined on a topological space,we have discussed some properties for the invariant sets and their domains of influence.We have proved the following open problem posed by C.Conley:an attractor in a locally connected compact Hausdorff invariant set has finitely many components.In the meantime,two necessary and sufficient conditions for a set to be an attractor have been given.展开更多
基金Phis work was supported by the National Natural Science Foundation of China (Grant No. 19901034) .
文摘For the continuous flows defined on a topological space,we have discussed some properties for the invariant sets and their domains of influence.We have proved the following open problem posed by C.Conley:an attractor in a locally connected compact Hausdorff invariant set has finitely many components.In the meantime,two necessary and sufficient conditions for a set to be an attractor have been given.
