Collapsing three-dimensional closed Alexandrov spaces with a lower curvature bound

Mitsuishi, Ayato; Yamaguchi, Takao

doi:10.1090/S0002-9947-2014-06091-1

Collapsing three-dimensional closed Alexandrov spaces with a lower curvature bound
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by Ayato Mitsuishi and Takao Yamaguchi PDF

Trans. Amer. Math. Soc. 367 (2015), 2339-2410 Request permission

Abstract:

In the present paper, we determine the topologies of three-dimensional closed Alexandrov spaces which converge to lower dimensional spaces in the Gromov-Hausdorff topology.

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