只有有理同调球面才允许$Ω(f)$是DE吸引子的并
Only rational homology spheres admit $Ω(f)$ to be union of DE attractors
摘要：
若在闭的可定向$n$ -流形$M$上存在一个自同构$f$，使得非徘徊集$Ω(f)$由许多由扩张映射导出的可定向$(\pm)$吸引子组成，则$M$必是一个有理同调球面，并且所有这些吸引子都是拓扑维数为$n-2$的.不断扩展的地图在（共）同源性上不断扩展。
英文摘要：
If there exists a diffeomorphism $f$ on a closed, orientable $n$-manifold $M$ such that the non-wandering set $Ω(f)$ consists of finitely many orientable $(\pm)$ attractors derived from expanding maps, then $M$ must be a rational homology sphere; moreover all those attractors are of topological dimension $n-2$. Expanding maps are expanding on (co)homologies.
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。
