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

Ayato Mitsuishi; Takao Yamaguchi

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arXiv · 1212.2302

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

Ayato Mitsuishi·Takao Yamaguchi

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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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Ayato Mitsuishi, Takao Yamaguchi. 2012-12-11. Collapsing three-dimensional closed Alexandrov spaces with a lower curvature bound. https://arxiv.org/abs/1212.2302

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