再论上齐性单拓扑流形
Cohomogeneity one topological manifolds revisited
摘要：
我们证明了上齐性闭拓扑流形的结构定理;这一结果纠正了文献中的一个疏忽。完成了闭单连通上齐性单拓扑流形在$5$，$6$，和$7$维上的等变分类，并得到了这些空间的拓扑特征.在这些维中，这些流形同胚于光滑流形。
英文摘要：
We prove a structure theorem for closed topological manifolds of cohomogeneity one; this result corrects an oversight in the literature. We complete the equivariant classification of closed, simply connected cohomogeneity one topological manifolds in dimensions $5$, $6$, and $7$ and obtain topological characterizations of these spaces. In these dimensions, these manifolds are homeomorphic to smooth manifolds.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
