关于“具有孤立平坦面的Hadamard空间”的勘误
Erratum on "Hadamard spaces with isolated flats"
摘要：
本勘误表的目的是纠正我们的文章“具有孤立平坦的阿达玛空间”（math.GR/0411232）附录中定理A.0.1的证明，该文章由Mohamad Hindawi、Hruska和Kleiner共同撰写。在该附录中，math.GR/0411232中关于具有孤立平坦的CAT（0）空间的许多结果被推广到更一般的情况，其中孤立子空间不一定是平坦的。然而，这种扩展的一个步骤并不遵循我们使用的孤立公寓设置的论点。我们提供了一个新的证明，填补了这一空白。此外，我们给出了定理A.0.1的其他几个部分的更详细的说明，这些部分在math.GR/0411232中被概述。
英文摘要：
The purpose of this erratum is to correct the proof of Theorem A.0.1 in the appendix to our article ``Hadamard spaces with isolated flats'' math.GR/0411232, which was jointly authored by Mohamad Hindawi, Hruska and Kleiner. In that appendix, many of the results of math.GR/0411232 about CAT(0) spaces with isolated flats are extended to a more general setting in which the isolated subspaces are not necessarily flats. However, one step of that extension does not follow from the argument we used the isolated flats setting. We provide a new proof that fills this gap. In addition, we give a more detailed account of several other parts of Theorem A.0.1, which were sketched in math.GR/0411232.
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