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arxiv: 1212.2302 · v1 · pith:SPF2NH76new · submitted 2012-12-11 · 🧮 math.MG · math.DG

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

classification 🧮 math.MG math.DG
keywords spacesalexandrovclosedlowerthree-dimensionalboundcollapsingconverge
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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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