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# Asian Journal of Mathematics

## Volume 17 (2013)

### Number 4

### A new proof of almost isometry theorem in Alexandrov geometry with curvature bounded below

Pages: 715 – 728

DOI: http://dx.doi.org/10.4310/AJM.2013.v17.n4.a9

#### Authors

#### Abstract

In this paper we give a new proof (along the line of the original proof) for the almost isometry theorem in Alexandrov geometry with curvature bounded below in [1]. The motivation of the new proof is that we find that Lemma 9.11 in [1] is incorrect (see Example 1.3 below), while this lemma is a crucial step in the original proof.

#### Keywords

Alexandrov spaces, GH-approximation, almost isometry

#### 2010 Mathematics Subject Classification

53C20