CAT(0) 空间的莫尔斯子集是强收缩的。
Morse subsets of CAT(0) spaces are strongly contracting.
作者信息
Cashen Christopher H
机构信息
Faculty of Mathematics, University of Vienna, 1090 Vienna, Austria.
出版信息
Geom Dedic. 2020;204(1):311-314. doi: 10.1007/s10711-019-00457-x. Epub 2019 May 10.
Abstract
We prove that Morse subsets of CAT(0) spaces are strongly contracting. This generalizes and simplifies a result of Sultan, who proved it for Morse quasi-geodesics. Our proof goes through the recurrence characterization of Morse subsets.
摘要
我们证明了CAT(0)空间的莫尔斯子集是强收缩的。这推广并简化了苏丹的一个结果，他针对莫尔斯拟测地线证明了这一点。我们的证明通过莫尔斯子集的递归特征来进行。
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