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arXiv · 2606.19189

Topology of two-dimensional collapsed spaces with lower Ricci bounds

Elia Bruè·Qin Deng
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Abstract

We prove that collapsed metric measure spaces with Ricci curvature bounded below and essential dimension two are topological surfaces, possibly with boundary.

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Elia Bruè, Qin Deng. 2026-06-17. Topology of two-dimensional collapsed spaces with lower Ricci bounds. https://arxiv.org/abs/2606.19189

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